214076427200 has 336 divisors, whose sum is σ = 560360706048. Its totient is φ = 80371200000.

The previous prime is 214076427167. The next prime is 214076427217. The reversal of 214076427200 is 2724670412.

214076427200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305386850 + ... + 305387550.

Almost surely, 2^214076427200 is an apocalyptic number.

214076427200 is a gapful number since it is divisible by the number (20) 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 214076427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280180353024).

214076427200 is an abundant number, since it is smaller than the sum of its proper divisors (346284278848).

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

214076427200 is a wasteful number, since it uses less digits than its factorization.

214076427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 214076427200 in words is "two hundred fourteen billion, seventy-six million, four hundred twenty-seven thousand, two hundred".