321012031120040 has 256 divisors, whose sum is σ = 841388257382400. Its totient is φ = 109146348896256.

The previous prime is 321012031119851. The next prime is 321012031120049. The reversal of 321012031120040 is 40021130210123.

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

It is a junction number, because it is equal to n+sod(n) for n = 321012031119994 and 321012031120021.

It is not an unprimeable number, because it can be changed into a prime (321012031120049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1295758262 + ... + 1296005978.

It is an arithmetic number, because the mean of its divisors is an integer number (3286672880400).

Almost surely, 2^{321012031120040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321012031120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420694128691200).

321012031120040 is an abundant number, since it is smaller than the sum of its proper divisors (520376226262360).

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

321012031120040 is a wasteful number, since it uses less digits than its factorization.

321012031120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250924 (or 250920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 321012031120040 its reverse (40021130210123), we get a palindrome (361033161330163).

The spelling of 321012031120040 in words is "three hundred twenty-one trillion, twelve billion, thirty-one million, one hundred twenty thousand, forty".