321440434430040 has 192 divisors, whose sum is σ = 1072937390297760. Its totient is φ = 83399102115840.

The previous prime is 321440434429999. The next prime is 321440434430041. The reversal of 321440434430040 is 40034434044123.

321440434430040 is a `hidden beast` number, since 3 + 2 + 1 + 4 + 4 + 0 + 4 + 344 + 300 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321440434429977 and 321440434430004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321440434430041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759574587 + ... + 759997653.

Almost surely, 2^{321440434430040} is an apocalyptic number.

321440434430040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321440434430040 is an abundant number, since it is smaller than the sum of its proper divisors (751496955867720).

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

321440434430040 is a wasteful number, since it uses less digits than its factorization.

321440434430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480162 (or 480155 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 321440434430040 its reverse (40034434044123), we get a palindrome (361474868474163).

The spelling of 321440434430040 in words is "three hundred twenty-one trillion, four hundred forty billion, four hundred thirty-four million, four hundred thirty thousand, forty".