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40410401440 = 255678394493
BaseRepresentation
bin100101101000101001…
…011100101010100000
310212022021022002102211
4211220221130222200
51130230030321230
630321515051504
72630256513313
oct455051345240
9125267262384
1040410401440
1116157688792
1279b9440b94
133a700c6356
141d54cbc97a
1510b7a5242a
hex968a5caa0

40410401440 has 96 divisors (see below), whose sum is σ = 97031571840. Its totient is φ = 15900386304.

The previous prime is 40410401431. The next prime is 40410401443. The reversal of 40410401440 is 4410401404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40410401443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8991834 + ... + 8996326.

It is an arithmetic number, because the mean of its divisors is an integer number (1010745540).

Almost surely, 240410401440 is an apocalyptic number.

40410401440 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 40410401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48515785920).

40410401440 is an abundant number, since it is smaller than the sum of its proper divisors (56621170400).

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

40410401440 is a wasteful number, since it uses less digits than its factorization.

40410401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5414 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 40410401440 its reverse (4410401404), we get a palindrome (44820802844).

The spelling of 40410401440 in words is "forty billion, four hundred ten million, four hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 670 839 1072 1340 1678 2144 2680 3356 4195 4493 5360 6712 8390 8986 10720 13424 16780 17972 22465 26848 33560 35944 44930 56213 67120 71888 89860 112426 134240 143776 179720 224852 281065 301031 359440 449704 562130 602062 718880 899408 1124260 1204124 1505155 1798816 2248520 2408248 3010310 3769627 4497040 4816496 6020620 7539254 8994080 9632992 12041240 15078508 18848135 24082480 30157016 37696270 48164960 60314032 75392540 120628064 150785080 252565009 301570160 505130018 603140320 1010260036 1262825045 2020520072 2525650090 4041040144 5051300180 8082080288 10102600360 20205200720 40410401440