40541700640100 has 144 divisors (see below), whose sum is σ = 101055673897920. Its totient is φ = 13962207283200.

The previous prime is 40541700640097. The next prime is 40541700640127. The reversal of 40541700640100 is 104600714504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67773512 + ... + 68369088.

It is an arithmetic number, because the mean of its divisors is an integer number (701775513180).

Almost surely, 2^{40541700640100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40541700640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50527836948960).

40541700640100 is an abundant number, since it is smaller than the sum of its proper divisors (60513973257820).

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

40541700640100 is a wasteful number, since it uses less digits than its factorization.

40541700640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598878 (or 598871 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 40541700640100 in words is "forty trillion, five hundred forty-one billion, seven hundred million, six hundred forty thousand, one hundred".