331625661440 has 88 divisors (see below), whose sum is σ = 806411310360. Its totient is φ = 130832990208.

The previous prime is 331625661407. The next prime is 331625661443. The reversal of 331625661440 is 44166526133.

It can be written as a sum of positive squares in 4 ways, for example, as 9764601856 + 321861059584 = 98816^2 + 567328^2 .

It is not an unprimeable number, because it can be changed into a prime (331625661443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69875 + ... + 817394.

Almost surely, 2^331625661440 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 331625661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403205655180).

331625661440 is an abundant number, since it is smaller than the sum of its proper divisors (474785648920).

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

331625661440 is an equidigital number, since it uses as much as digits as its factorization.

331625661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887367 (or 887349 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 331625661440 in words is "three hundred thirty-one billion, six hundred twenty-five million, six hundred sixty-one thousand, four hundred forty".