40312559952 has 320 divisors, whose sum is σ = 142405171200. Its totient is φ = 10655815680.

The previous prime is 40312559923. The next prime is 40312559971. The reversal of 40312559952 is 25995521304.

40312559952 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 2 + 5 + 599 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40312559898 and 40312559907.

It is a congruent number.

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, 3026427 + ... + 3039717.

It is an arithmetic number, because the mean of its divisors is an integer number (445016160).

Almost surely, 2^40312559952 is an apocalyptic number.

40312559952 is a gapful number since it is divisible by the number (42) 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 40312559952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71202585600).

40312559952 is an abundant number, since it is smaller than the sum of its proper divisors (102092611248).

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

40312559952 is a wasteful number, since it uses less digits than its factorization.

40312559952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391 (or 13379 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 40312559952 in words is "forty billion, three hundred twelve million, five hundred fifty-nine thousand, nine hundred fifty-two".