321251054040 has 576 divisors, whose sum is σ = 1251093729600. Its totient is φ = 71230150656.

The previous prime is 321251054029. The next prime is 321251054053. The reversal of 321251054040 is 40450152123.

321251054040 is a `hidden beast` number, since 3 + 2 + 1 + 251 + 0 + 5 + 404 + 0 = 666.

It is a super-2 number, since 2×321251054040² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321251053995 and 321251054013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332213637 + ... + 332214603.

It is an arithmetic number, because the mean of its divisors is an integer number (2172037725).

Almost surely, 2^321251054040 is an apocalyptic number.

321251054040 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 321251054040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625546864800).

321251054040 is an abundant number, since it is smaller than the sum of its proper divisors (929842675560).

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

321251054040 is a wasteful number, since it uses less digits than its factorization.

321251054040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1530 counting only the distinct ones).

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

The spelling of 321251054040 in words is "three hundred twenty-one billion, two hundred fifty-one million, fifty-four thousand, forty".