321012400434400 has 36 divisors (see below), whose sum is σ = 783671522562432. Its totient is φ = 128404960173440.

The previous prime is 321012400434389. The next prime is 321012400434433. The reversal of 321012400434400 is 4434004210123.

It is a super-2 number, since 2×321012400434400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 200632749472 + ... + 200632751071.

It is an arithmetic number, because the mean of its divisors is an integer number (21768653404512).

Almost surely, 2^{321012400434400} is an apocalyptic number.

It is an amenable number.

321012400434400 is an abundant number, since it is smaller than the sum of its proper divisors (462659122128032).

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

321012400434400 is a wasteful number, since it uses less digits than its factorization.

321012400434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401265500563 (or 401265500550 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 321012400434400 its reverse (4434004210123), we get a palindrome (325446404644523).

The spelling of 321012400434400 in words is "three hundred twenty-one trillion, twelve billion, four hundred million, four hundred thirty-four thousand, four hundred".