214999142400 has 1755 divisors, whose sum is σ = 968465104761. Its totient is φ = 47006023680.

The previous prime is 214999142321. The next prime is 214999142419. The reversal of 214999142400 is 4241999412.

It is a happy number.

The square root of 214999142400 is 463680.

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

214999142400 is a `hidden beast` number, since 2 + 14 + 9 + 99 + 142 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77399691264 + 137599451136 = 278208^2 + 370944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9347788789 + ... + 9347788811.

Almost surely, 2^214999142400 is an apocalyptic number.

214999142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

214999142400 is the 463680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214999142400

214999142400 is an abundant number, since it is smaller than the sum of its proper divisors (753465962361).

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

214999142400 is an equidigital number, since it uses as much as digits as its factorization.

214999142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 214999142400 in words is "two hundred fourteen billion, nine hundred ninety-nine million, one hundred forty-two thousand, four hundred".