214402402320120 has 1024 divisors, whose sum is σ = 830607442329600. Its totient is φ = 48784473593856.

The previous prime is 214402402320053. The next prime is 214402402320157. The reversal of 214402402320120 is 21023204204412.

It is a happy number.

214402402320120 is a `hidden beast` number, since 2 + 1 + 4 + 402 + 4 + 0 + 232 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 191944853802 + ... + 191944854918.

It is an arithmetic number, because the mean of its divisors is an integer number (811140080400).

Almost surely, 2^{214402402320120} is an apocalyptic number.

214402402320120 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 214402402320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415303721164800).

214402402320120 is an abundant number, since it is smaller than the sum of its proper divisors (616205040009480).

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

214402402320120 is a wasteful number, since it uses less digits than its factorization.

214402402320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 214402402320120 its reverse (21023204204412), we get a palindrome (235425606524532).

The spelling of 214402402320120 in words is "two hundred fourteen trillion, four hundred two billion, four hundred two million, three hundred twenty thousand, one hundred twenty".