40788088100 has 36 divisors (see below), whose sum is σ = 93716634564. Its totient is φ = 15355514880.

The previous prime is 40788088079. The next prime is 40788088111. The reversal of 40788088100 is 188088704.

40788088100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4300211776 + 36487876324 = 65576^2 + 191018^2 .

It is a super-2 number, since 2×40788088100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11994797 + ... + 11998196.

It is an arithmetic number, because the mean of its divisors is an integer number (2603239849).

Almost surely, 2^40788088100 is an apocalyptic number.

It is an amenable number.

40788088100 is an abundant number, since it is smaller than the sum of its proper divisors (52928546464).

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

40788088100 is a wasteful number, since it uses less digits than its factorization.

40788088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23993024 (or 23993017 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 44.

The spelling of 40788088100 in words is "forty billion, seven hundred eighty-eight million, eighty-eight thousand, one hundred".