40113874944 has 960 divisors, whose sum is σ = 149837688000. Its totient is φ = 10510663680.

The previous prime is 40113874921. The next prime is 40113874949. The reversal of 40113874944 is 44947831104.

40113874944 is a `hidden beast` number, since 40 + 113 + 8 + 7 + 494 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40113874944.

It is not an unprimeable number, because it can be changed into a prime (40113874949) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 450717652 + ... + 450717740.

It is an arithmetic number, because the mean of its divisors is an integer number (156080925).

Almost surely, 2^40113874944 is an apocalyptic number.

40113874944 is a gapful number since it is divisible by the number (44) 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 40113874944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74918844000).

40113874944 is an abundant number, since it is smaller than the sum of its proper divisors (109723813056).

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

40113874944 is a wasteful number, since it uses less digits than its factorization.

40113874944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 40113874944 in words is "forty billion, one hundred thirteen million, eight hundred seventy-four thousand, nine hundred forty-four".