321420004013000 has 64 divisors (see below), whose sum is σ = 770467268254320. Its totient is φ = 125432196672000.

The previous prime is 321420004012951. The next prime is 321420004013131. The reversal of 321420004013000 is 310400024123.

It can be written as a sum of positive squares in 8 ways, for example, as 6607871254084 + 314812132758916 = 2570578^2 + 17742946^2 .

It is a super-2 number, since 2×321420004013000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919715147 + ... + 3919797146.

Almost surely, 2^{321420004013000} is an apocalyptic number.

It is an amenable number.

321420004013000 is an abundant number, since it is smaller than the sum of its proper divisors (449047264241320).

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

321420004013000 is a wasteful number, since it uses less digits than its factorization.

321420004013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839512355 (or 7839512341 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 321420004013000 its reverse (310400024123), we get a palindrome (321730404037123).

The spelling of 321420004013000 in words is "three hundred twenty-one trillion, four hundred twenty billion, four million, thirteen thousand".