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40401356416 = 274727124781
BaseRepresentation
bin100101101000000110…
…111100011010000000
310212021122021112222221
4211220012330122000
51130220221401131
630320553140424
72630116602061
oct455006743200
9125248245887
1040401356416
1116152570063
1279b63ba714
133a6b27a375
141d53a06568
1510b6d67411
hex9681bc680

40401356416 has 64 divisors (see below), whose sum is σ = 82506216960. Its totient is φ = 19697126400.

The previous prime is 40401356383. The next prime is 40401356423. The reversal of 40401356416 is 61465310404.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1617946 + ... + 1642726.

It is an arithmetic number, because the mean of its divisors is an integer number (1289159640).

Almost surely, 240401356416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40401356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253108480).

40401356416 is an abundant number, since it is smaller than the sum of its proper divisors (42104860544).

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

40401356416 is a wasteful number, since it uses less digits than its factorization.

40401356416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25113 (or 25101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 40401356416 in words is "forty billion, four hundred one million, three hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 271 376 542 752 1084 1504 2168 3008 4336 6016 8672 12737 17344 24781 25474 34688 49562 50948 99124 101896 198248 203792 396496 407584 792992 815168 1164707 1585984 1630336 2329414 3171968 4658828 6715651 9317656 13431302 18635312 26862604 37270624 53725208 74541248 107450416 149082496 214900832 315635597 429801664 631271194 859603328 1262542388 2525084776 5050169552 10100339104 20200678208 40401356416