331112001440000 has 360 divisors, whose sum is σ = 902954293858848. Its totient is φ = 120140605440000.

The previous prime is 331112001439991. The next prime is 331112001440039. The reversal of 331112001440000 is 44100211133.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 804114167 + ... + 804525833.

Almost surely, 2^{331112001440000} 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 331112001440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451477146929424).

331112001440000 is an abundant number, since it is smaller than the sum of its proper divisors (571842292418848).

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

331112001440000 is an equidigital number, since it uses as much as digits as its factorization.

331112001440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412171 (or 412142 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 331112001440000 its reverse (44100211133), we get a palindrome (331156101651133).

The spelling of 331112001440000 in words is "three hundred thirty-one trillion, one hundred twelve billion, one million, four hundred forty thousand".