214641312464400 has 120 divisors (see below), whose sum is σ = 698839272328704. Its totient is φ = 56299360627200.

The previous prime is 214641312464323. The next prime is 214641312464429. The reversal of 214641312464400 is 4464213146412.

214641312464400 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1466055984 + ... + 1466202383.

Almost surely, 2^{214641312464400} is an apocalyptic number.

214641312464400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214641312464400 is an abundant number, since it is smaller than the sum of its proper divisors (484197959864304).

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

214641312464400 is a wasteful number, since it uses less digits than its factorization.

214641312464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932258449 (or 2932258438 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The spelling of 214641312464400 in words is "two hundred fourteen trillion, six hundred forty-one billion, three hundred twelve million, four hundred sixty-four thousand, four hundred".