331430400000 has 1248 divisors, whose sum is σ = 1412857071360. Its totient is φ = 75202560000.

The previous prime is 331430399987. The next prime is 331430400017. The reversal of 331430400000 is 4034133.

It is a super-2 number, since 2×331430400000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 2419199932 + ... + 2419200068.

Almost surely, 2^331430400000 is an apocalyptic number.

331430400000 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 331430400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706428535680).

331430400000 is an abundant number, since it is smaller than the sum of its proper divisors (1081426671360).

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

331430400000 is an frugal number, since it uses more digits than its factorization.

331430400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 331430400000 its reverse (4034133), we get a palindrome (331434434133).

The spelling of 331430400000 in words is "three hundred thirty-one billion, four hundred thirty million, four hundred thousand".