332131545324040 has 256 divisors, whose sum is σ = 932989280256000. Its totient is φ = 103377611335680.

The previous prime is 332131545323953. The next prime is 332131545324043. The reversal of 332131545324040 is 40423545131233.

It is a super-2 number, since 2×332131545324040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 332131545323984 and 332131545324002.

It is not an unprimeable number, because it can be changed into a prime (332131545324043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26765369356 + ... + 26765381764.

It is an arithmetic number, because the mean of its divisors is an integer number (3644489376000).

Almost surely, 2^{332131545324040} 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 332131545324040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466494640128000).

332131545324040 is an abundant number, since it is smaller than the sum of its proper divisors (600857734931960).

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

332131545324040 is a wasteful number, since it uses less digits than its factorization.

332131545324040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23820 (or 23816 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 332131545324040 in words is "three hundred thirty-two trillion, one hundred thirty-one billion, five hundred forty-five million, three hundred twenty-four thousand, forty".