40813606944 has 384 divisors, whose sum is σ = 138475008000. Its totient is φ = 11564467200.

The previous prime is 40813606931. The next prime is 40813606997. The reversal of 40813606944 is 44960631804.

It is a self number, because there is not a number n which added to its sum of digits gives 40813606944.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14264074 + ... + 14266934.

It is an arithmetic number, because the mean of its divisors is an integer number (360612000).

Almost surely, 2^40813606944 is an apocalyptic number.

40813606944 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 40813606944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69237504000).

40813606944 is an abundant number, since it is smaller than the sum of its proper divisors (97661401056).

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

40813606944 is a wasteful number, since it uses less digits than its factorization.

40813606944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 40813606944 in words is "forty billion, eight hundred thirteen million, six hundred six thousand, nine hundred forty-four".