331424000400 has 240 divisors, whose sum is σ = 1081836232256. Its totient is φ = 86712975360.

The previous prime is 331424000387. The next prime is 331424000437. The reversal of 331424000400 is 4000424133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×331424000400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16896999 + ... + 16916601.

Almost surely, 2^331424000400 is an apocalyptic number.

331424000400 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 331424000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540918116128).

331424000400 is an abundant number, since it is smaller than the sum of its proper divisors (750412231856).

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

331424000400 is a wasteful number, since it uses less digits than its factorization.

331424000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19890 (or 19879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 331424000400 its reverse (4000424133), we get a palindrome (335424424533).

The spelling of 331424000400 in words is "three hundred thirty-one billion, four hundred twenty-four million, four hundred", and thus it is an aban number.