321512450040 has 128 divisors (see below), whose sum is σ = 1089872928000. Its totient is φ = 84283473024.

The previous prime is 321512450033. The next prime is 321512450041. The reversal of 321512450040 is 40054215123.

321512450040 is a `hidden beast` number, since 3 + 2 + 151 + 2 + 4 + 500 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321512449986 and 321512450013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321512450041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459134 + ... + 2586573.

It is an arithmetic number, because the mean of its divisors is an integer number (8514632250).

Almost surely, 2^321512450040 is an apocalyptic number.

321512450040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321512450040 is an abundant number, since it is smaller than the sum of its proper divisors (768360477960).

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

321512450040 is a wasteful number, since it uses less digits than its factorization.

321512450040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045786 (or 5045776 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 321512450040 its reverse (40054215123), we get a palindrome (361566665163).

The spelling of 321512450040 in words is "three hundred twenty-one billion, five hundred twelve million, four hundred fifty thousand, forty".