331325540400000 has 384 divisors, whose sum is σ = 1100219917356000. Its totient is φ = 88338539520000.

The previous prime is 331325540399993. The next prime is 331325540400059. The reversal of 331325540400000 is 4045523133.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×331325540400000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8338780134 + ... + 8338819866.

Almost surely, 2^{331325540400000} is an apocalyptic number.

331325540400000 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 331325540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550109958678000).

331325540400000 is an abundant number, since it is smaller than the sum of its proper divisors (768894376956000).

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

331325540400000 is an frugal number, since it uses more digits than its factorization.

331325540400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46724 (or 46692 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 331325540400000 its reverse (4045523133), we get a palindrome (331329585923133).

The spelling of 331325540400000 in words is "three hundred thirty-one trillion, three hundred twenty-five billion, five hundred forty million, four hundred thousand".