641771252400 has 120 divisors (see below), whose sum is σ = 2055989908224. Its totient is φ = 171123795200.

The previous prime is 641771252399. The next prime is 641771252411. The reversal of 641771252400 is 4252177146.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21958597 + ... + 21987803.

Almost surely, 2^641771252400 is an apocalyptic number.

641771252400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

641771252400 is an abundant number, since it is smaller than the sum of its proper divisors (1414218655824).

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

641771252400 is a wasteful number, since it uses less digits than its factorization.

641771252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47539 (or 47528 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 641771252400 in words is "six hundred forty-one billion, seven hundred seventy-one million, two hundred fifty-two thousand, four hundred".