331993334400 has 2304 divisors, whose sum is σ = 1493184430080. Its totient is φ = 63258624000.

The previous prime is 331993334399. The next prime is 331993334437. The reversal of 331993334400 is 4433399133.

It is a super-2 number, since 2×331993334400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8097398380 + ... + 8097398420.

It is an arithmetic number, because the mean of its divisors is an integer number (648083520).

Almost surely, 2^331993334400 is an apocalyptic number.

331993334400 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 331993334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746592215040).

331993334400 is an abundant number, since it is smaller than the sum of its proper divisors (1161191095680).

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

331993334400 is a wasteful number, since it uses less digits than its factorization.

331993334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 42.

The spelling of 331993334400 in words is "three hundred thirty-one billion, nine hundred ninety-three million, three hundred thirty-four thousand, four hundred".