641025353024100 has 216 divisors, whose sum is σ = 2320854572863008. Its totient is φ = 146258904038400.

The previous prime is 641025353024081. The next prime is 641025353024113. The reversal of 641025353024100 is 1420353520146.

641025353024100 is a `hidden beast` number, since 6 + 4 + 10 + 2 + 5 + 3 + 530 + 2 + 4 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1904244514 + ... + 1904581113.

It is an arithmetic number, because the mean of its divisors is an integer number (10744697096588).

Almost surely, 2^{641025353024100} is an apocalyptic number.

641025353024100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641025353024100 is an abundant number, since it is smaller than the sum of its proper divisors (1679829219838908).

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

641025353024100 is a wasteful number, since it uses less digits than its factorization.

641025353024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808825675 (or 3808825665 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 641025353024100 in words is "six hundred forty-one trillion, twenty-five billion, three hundred fifty-three million, twenty-four thousand, one hundred".