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40321494455480 = 2357413803923567
BaseRepresentation
bin10010010101100000101000…
…10110101001010010111000
312021202200211021110111211022
421022300110112221102320
520241111410040033410
6221431234442122012
711331063135606140
oct1112602426512270
9167680737414738
1040321494455480
1111936282493967
1246326aaab0308
1319663ba5a1684
149d57dc1a1920
1549dcc4448455
hex24ac145a94b8

40321494455480 has 128 divisors (see below), whose sum is σ = 106240760801280. Its totient is φ = 13483768058880.

The previous prime is 40321494455443. The next prime is 40321494455507. The reversal of 40321494455480 is 8455449412304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43196657 + ... + 44120223.

It is an arithmetic number, because the mean of its divisors is an integer number (830005943760).

Almost surely, 240321494455480 is an apocalyptic number.

40321494455480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40321494455480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53120380400640).

40321494455480 is an abundant number, since it is smaller than the sum of its proper divisors (65919266345800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40321494455480 is a wasteful number, since it uses less digits than its factorization.

40321494455480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927429 (or 927425 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 53.

The spelling of 40321494455480 in words is "forty trillion, three hundred twenty-one billion, four hundred ninety-four million, four hundred fifty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 56 70 82 140 164 205 280 287 328 410 574 820 1148 1435 1640 2296 2870 3803 5740 7606 11480 15212 19015 26621 30424 38030 53242 76060 106484 133105 152120 155923 212968 266210 311846 532420 623692 779615 923567 1064840 1091461 1247384 1559230 1847134 2182922 3118460 3694268 4365844 4617835 5457305 6236920 6464969 7388536 8731688 9235670 10914610 12929938 18471340 21829220 25859876 32324845 36942680 37866247 43658440 51719752 64649690 75732494 129299380 151464988 189331235 258598760 265063729 302929976 378662470 530127458 757324940 1060254916 1325318645 1514649880 2120509832 2650637290 3512325301 5301274580 7024650602 10602549160 14049301204 17561626505 24586277107 28098602408 35123253010 49172554214 70246506020 98345108428 122931385535 140493012040 144005337341 196690216856 245862771070 288010674682 491725542140 576021349364 720026686705 983451084280 1008037361387 1152042698728 1440053373410 2016074722774 2880106746820 4032149445548 5040186806935 5760213493640 8064298891096 10080373613870 20160747227740 40321494455480