41872440888720 has 240 divisors, whose sum is σ = 160346818365552. Its totient is φ = 9700764549120.

The previous prime is 41872440888671. The next prime is 41872440888731. The reversal of 41872440888720 is 2788804427814.

41872440888720 is a `hidden beast` number, since 4 + 1 + 87 + 2 + 4 + 408 + 88 + 72 + 0 = 666.

41872440888720 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 8 ways, for example, as 427841577216 + 41444599311504 = 654096^2 + 6437748^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131415921 + ... + 131734160.

Almost surely, 2^{41872440888720} is an apocalyptic number.

41872440888720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41872440888720 is an abundant number, since it is smaller than the sum of its proper divisors (118474377476832).

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

41872440888720 is a wasteful number, since it uses less digits than its factorization.

41872440888720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263150130 (or 263150121 counting only the distinct ones).

The product of its (nonzero) digits is 51380224, while the sum is 63.

The spelling of 41872440888720 in words is "forty-one trillion, eight hundred seventy-two billion, four hundred forty million, eight hundred eighty-eight thousand, seven hundred twenty".