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40554948480 = 2735148314243
BaseRepresentation
bin100101110001010000…
…110110011110000000
310212200100021211200220
4211301100312132000
51131024031322410
630344121143040
72633663242254
oct456120663600
9125610254626
1040554948480
1116221236052
127a3992aa80
133a94036247
141d6a188264
1510c55a6070
hex971436780

40554948480 has 128 divisors (see below), whose sum is σ = 129365147520. Its totient is φ = 10806601728.

The previous prime is 40554948461. The next prime is 40554948521. The reversal of 40554948480 is 8484945504.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2840239 + ... + 2854481.

It is an arithmetic number, because the mean of its divisors is an integer number (1010665215).

Almost surely, 240554948480 is an apocalyptic number.

40554948480 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 40554948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64682573760).

40554948480 is an abundant number, since it is smaller than the sum of its proper divisors (88810199040).

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

40554948480 is a wasteful number, since it uses less digits than its factorization.

40554948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15748 (or 15736 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 40554948480 in words is "forty billion, five hundred fifty-four million, nine hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1483 1920 2966 4449 5932 7415 8898 11864 14243 14830 17796 22245 23728 28486 29660 35592 42729 44490 47456 56972 59320 71184 71215 85458 88980 94912 113944 118640 142368 142430 170916 177960 189824 213645 227888 237280 284736 284860 341832 355920 427290 455776 474560 569472 569720 683664 711840 854580 911552 949120 1139440 1367328 1423680 1709160 1823104 2278880 2734656 2847360 3418320 4557760 5469312 6836640 9115520 13673280 21122369 27346560 42244738 63367107 84489476 105611845 126734214 168978952 211223690 253468428 316835535 337957904 422447380 506936856 633671070 675915808 844894760 1013873712 1267342140 1351831616 1689789520 2027747424 2534684280 2703663232 3379579040 4055494848 5069368560 6759158080 8110989696 10138737120 13518316160 20277474240 40554948480