321550871040 has 1600 divisors, whose sum is σ = 1419420651264. Its totient is φ = 67905257472.

The previous prime is 321550871039. The next prime is 321550871053. The reversal of 321550871040 is 40178055123.

321550871040 is a `hidden beast` number, since 3 + 21 + 550 + 87 + 1 + 0 + 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 = 321550870986 and 321550871004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2048094642 + ... + 2048094798.

Almost surely, 2^321550871040 is an apocalyptic number.

321550871040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321550871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709710325632).

321550871040 is an abundant number, since it is smaller than the sum of its proper divisors (1097869780224).

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

321550871040 is a wasteful number, since it uses less digits than its factorization.

321550871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 321550871040 in words is "three hundred twenty-one billion, five hundred fifty million, eight hundred seventy-one thousand, forty".