40107353216 has 64 divisors (see below), whose sum is σ = 91469520000. Its totient is φ = 17159940096.

The previous prime is 40107353201. The next prime is 40107353233. The reversal of 40107353216 is 61235370104.

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

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 499340 + ... + 574068.

It is an arithmetic number, because the mean of its divisors is an integer number (1429211250).

Almost surely, 2^40107353216 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 40107353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45734760000).

40107353216 is an abundant number, since it is smaller than the sum of its proper divisors (51362166784).

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

40107353216 is an equidigital number, since it uses as much as digits as its factorization.

40107353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75349 (or 75337 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 40107353216 in words is "forty billion, one hundred seven million, three hundred fifty-three thousand, two hundred sixteen".