214250130454400 has 192 divisors, whose sum is σ = 529757958164400. Its totient is φ = 85620231782400.

The previous prime is 214250130454391. The next prime is 214250130454453. The reversal of 214250130454400 is 4454031052412.

It is a happy number.

It is a congruent number.

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, 32555859110 + ... + 32555865690.

Almost surely, 2^{214250130454400} is an apocalyptic number.

214250130454400 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 214250130454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264878979082200).

214250130454400 is an abundant number, since it is smaller than the sum of its proper divisors (315507827710000).

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

214250130454400 is a wasteful number, since it uses less digits than its factorization.

214250130454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14537 (or 14520 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 214250130454400 in words is "two hundred fourteen trillion, two hundred fifty billion, one hundred thirty million, four hundred fifty-four thousand, four hundred".