41956941700080 has 120 divisors (see below), whose sum is σ = 153714977348400. Its totient is φ = 10171379804160.

The previous prime is 41956941700043. The next prime is 41956941700081. The reversal of 41956941700080 is 8000714965914.

41956941700080 is a `hidden beast` number, since 4 + 1 + 9 + 569 + 4 + 1 + 70 + 0 + 0 + 8 + 0 = 666.

41956941700080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41956941700081) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2648788905 + ... + 2648804744.

It is an arithmetic number, because the mean of its divisors is an integer number (1280958144570).

Almost surely, 2^{41956941700080} is an apocalyptic number.

41956941700080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41956941700080 is an abundant number, since it is smaller than the sum of its proper divisors (111758035648320).

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

41956941700080 is a wasteful number, since it uses less digits than its factorization.

41956941700080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297593679 (or 5297593670 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 41956941700080 in words is "forty-one trillion, nine hundred fifty-six billion, nine hundred forty-one million, seven hundred thousand, eighty".