331450400000 has 108 divisors (see below), whose sum is σ = 826956657324. Its totient is φ = 132579840000.

The previous prime is 331450399961. The next prime is 331450400009. The reversal of 331450400000 is 4054133.

It can be written as a sum of positive squares in 6 ways, for example, as 299182744576 + 32267655424 = 546976^2 + 179632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331450400009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 592844 + ... + 1007156.

Almost surely, 2^331450400000 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 331450400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413478328662).

331450400000 is an abundant number, since it is smaller than the sum of its proper divisors (495506257324).

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

331450400000 is an frugal number, since it uses more digits than its factorization.

331450400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414354 (or 414320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 331450400000 its reverse (4054133), we get a palindrome (331454454133).

The spelling of 331450400000 in words is "three hundred thirty-one billion, four hundred fifty million, four hundred thousand".