641424566400 has 384 divisors, whose sum is σ = 2182022841600. Its totient is φ = 165515919360.

The previous prime is 641424566351. The next prime is 641424566401. The reversal of 641424566400 is 4665424146.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×641424566400² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (641424566401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40148814 + ... + 40164786.

It is an arithmetic number, because the mean of its divisors is an integer number (5682351150).

Almost surely, 2^641424566400 is an apocalyptic number.

641424566400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 641424566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091011420800).

641424566400 is an abundant number, since it is smaller than the sum of its proper divisors (1540598275200).

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

641424566400 is a wasteful number, since it uses less digits than its factorization.

641424566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16136 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 641424566400 in words is "six hundred forty-one billion, four hundred twenty-four million, five hundred sixty-six thousand, four hundred".