214401303925120 has 512 divisors, whose sum is σ = 590622923721600. Its totient is φ = 73721795051520.

The previous prime is 214401303925091. The next prime is 214401303925169. The reversal of 214401303925120 is 21529303104412.

It is a self number, because there is not a number n which added to its sum of digits gives 214401303925120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11670629535 + ... + 11670647905.

Almost surely, 2^{214401303925120} is an apocalyptic number.

214401303925120 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 214401303925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295311461860800).

214401303925120 is an abundant number, since it is smaller than the sum of its proper divisors (376221619796480).

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

214401303925120 is a wasteful number, since it uses less digits than its factorization.

214401303925120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19286 (or 19274 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 214401303925120 in words is "two hundred fourteen trillion, four hundred one billion, three hundred three million, nine hundred twenty-five thousand, one hundred twenty".