321013124344040 has 16 divisors (see below), whose sum is σ = 722279529774180. Its totient is φ = 128405249737600.

The previous prime is 321013124343949. The next prime is 321013124344079. The reversal of 321013124344040 is 40443421310123.

It can be written as a sum of positive squares in 2 ways, for example, as 294046976248804 + 26966148095236 = 17147798^2 + 5192894^2 .

It is a super-2 number, since 2×321013124344040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321013124343988 and 321013124344006.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4012664054261 + ... + 4012664054340.

Almost surely, 2^{321013124344040} is an apocalyptic number.

It is an amenable number.

321013124344040 is an abundant number, since it is smaller than the sum of its proper divisors (401266405430140).

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

321013124344040 is a wasteful number, since it uses less digits than its factorization.

321013124344040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8025328108612 (or 8025328108608 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 321013124344040 its reverse (40443421310123), we get a palindrome (361456545654163).

The spelling of 321013124344040 in words is "three hundred twenty-one trillion, thirteen billion, one hundred twenty-four million, three hundred forty-four thousand, forty".