320401120251456 has 84 divisors (see below), whose sum is σ = 918413987505664. Its totient is φ = 106795486022400.

The previous prime is 320401120251397. The next prime is 320401120251497. The reversal of 320401120251456 is 654152021104023.

320401120251456 is a `hidden beast` number, since 3 + 2 + 0 + 40 + 112 + 0 + 2 + 51 + 456 = 666.

It is a super-3 number, since 3×320401120251456³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 320401120251456.

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 11 ways as a sum of consecutive naturals, for example, 118960 + ... + 25314351.

Almost surely, 2^{320401120251456} is an apocalyptic number.

320401120251456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

320401120251456 is an abundant number, since it is smaller than the sum of its proper divisors (598012867254208).

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

320401120251456 is a wasteful number, since it uses less digits than its factorization.

320401120251456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25455200 (or 25455187 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 320401120251456 its reverse (654152021104023), we get a palindrome (974553141355479).

The spelling of 320401120251456 in words is "three hundred twenty trillion, four hundred one billion, one hundred twenty million, two hundred fifty-one thousand, four hundred fifty-six".