321013002000040 has 64 divisors (see below), whose sum is σ = 861351657557760. Its totient is φ = 105276313697280.

The previous prime is 321013001999993. The next prime is 321013002000101. The reversal of 321013002000040 is 40000200310123.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 321013001999978 and 321013002000023.

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, 24923363281 + ... + 24923376160.

It is an arithmetic number, because the mean of its divisors is an integer number (13458619649340).

Almost surely, 2^{321013002000040} is an apocalyptic number.

It is an amenable number.

321013002000040 is an abundant number, since it is smaller than the sum of its proper divisors (540338655557720).

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

321013002000040 is a wasteful number, since it uses less digits than its factorization.

321013002000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49846739482 (or 49846739478 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 321013002000040 its reverse (40000200310123), we get a palindrome (361013202310163).

The spelling of 321013002000040 in words is "three hundred twenty-one trillion, thirteen billion, two million, forty", and thus it is an aban number.