40114414874376 has 96 divisors (see below), whose sum is σ = 110016743087160. Its totient is φ = 13203057770496.

The previous prime is 40114414874323. The next prime is 40114414874389. The reversal of 40114414874376 is 67347841441104.

40114414874376 is a `hidden beast` number, since 4 + 0 + 1 + 14 + 41 + 487 + 43 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21939762320100 + 18174652554276 = 4683990^2 + 4263174^2 .

It is a super-3 number, since 3×40114414874376³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 3608445 + ... + 9656588.

Almost surely, 2^{40114414874376} is an apocalyptic number.

It is an amenable number.

40114414874376 is an abundant number, since it is smaller than the sum of its proper divisors (69902328212784).

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

40114414874376 is a wasteful number, since it uses less digits than its factorization.

40114414874376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13265575 (or 13265568 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 40114414874376 in words is "forty trillion, one hundred fourteen billion, four hundred fourteen million, eight hundred seventy-four thousand, three hundred seventy-six".