214387520400 has 135 divisors (see below), whose sum is σ = 744080668851. Its totient is φ = 57162597120.

The previous prime is 214387520383. The next prime is 214387520401. The reversal of 214387520400 is 4025783412.

It is a happy number.

The square root of 214387520400 is 463020.

It is a perfect power (a square), and thus also a powerful number.

214387520400 is a `hidden beast` number, since 2 + 14 + 3 + 87 + 520 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4872598416 + 209514921984 = 69804^2 + 457728^2 .

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

It is not an unprimeable number, because it can be changed into a prime (214387520401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27777342 + ... + 27785058.

Almost surely, 2^214387520400 is an apocalyptic number.

214387520400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214387520400 is the 463020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214387520400

214387520400 is an abundant number, since it is smaller than the sum of its proper divisors (529693148451).

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

214387520400 is an frugal number, since it uses more digits than its factorization.

214387520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15458 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Multiplying 214387520400 by its sum of digits (36), we get a square (7717950734400 = 2778120²).

214387520400 divided by its sum of digits (36) gives a square (5955208900 = 77170²).

The spelling of 214387520400 in words is "two hundred fourteen billion, three hundred eighty-seven million, five hundred twenty thousand, four hundred".