40576788252 has 288 divisors, whose sum is σ = 138645771264. Its totient is φ = 9662976000.

The previous prime is 40576788221. The next prime is 40576788253. The reversal of 40576788252 is 25288767504.

40576788252 is a `hidden beast` number, since 40 + 576 + 7 + 8 + 8 + 25 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40576788253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5437708 + ... + 5445164.

It is an arithmetic number, because the mean of its divisors is an integer number (481408928).

Almost surely, 2^40576788252 is an apocalyptic number.

40576788252 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 40576788252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69322885632).

40576788252 is an abundant number, since it is smaller than the sum of its proper divisors (98068983012).

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

40576788252 is a wasteful number, since it uses less digits than its factorization.

40576788252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7649 (or 7644 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

It can be divided in two parts, 40576 and 788252, that added together give a palindrome (828828).

The spelling of 40576788252 in words is "forty billion, five hundred seventy-six million, seven hundred eighty-eight thousand, two hundred fifty-two".