40916254464 has 216 divisors, whose sum is σ = 123328092160. Its totient is φ = 13528747008.

The previous prime is 40916254451. The next prime is 40916254493. The reversal of 40916254464 is 46445261904.

40916254464 is a `hidden beast` number, since 40 + 9 + 1 + 6 + 2 + 544 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7897827 + ... + 7903005.

Almost surely, 2^40916254464 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 40916254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61664046080).

40916254464 is an abundant number, since it is smaller than the sum of its proper divisors (82411837696).

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

40916254464 is an equidigital number, since it uses as much as digits as its factorization.

40916254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5337 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 40916254464 in words is "forty billion, nine hundred sixteen million, two hundred fifty-four thousand, four hundred sixty-four".