321414231120400 has 120 divisors (see below), whose sum is σ = 842443902460800. Its totient is φ = 116871461414400.

The previous prime is 321414231120379. The next prime is 321414231120401. The reversal of 321414231120400 is 4021132414123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (321414231120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78203961 + ... + 82211239.

It is an arithmetic number, because the mean of its divisors is an integer number (7020365853840).

Almost surely, 2^{321414231120400} is an apocalyptic number.

It is an amenable number.

321414231120400 is an abundant number, since it is smaller than the sum of its proper divisors (521029671340400).

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

321414231120400 is a wasteful number, since it uses less digits than its factorization.

321414231120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025537 (or 4025526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321414231120400 its reverse (4021132414123), we get a palindrome (325435363534523).

The spelling of 321414231120400 in words is "three hundred twenty-one trillion, four hundred fourteen billion, two hundred thirty-one million, one hundred twenty thousand, four hundred".