331431412240000 has 160 divisors (see below), whose sum is σ = 838603664005140. Its totient is φ = 130399242240000.

The previous prime is 331431412239947. The next prime is 331431412240003. The reversal of 331431412240000 is 42214134133.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 38460537142336 + 292970875097664 = 6201656^2 + 17116392^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (331431412240003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29078137 + ... + 38838136.

Almost surely, 2^{331431412240000} is an apocalyptic number.

It is an amenable number.

331431412240000 is an abundant number, since it is smaller than the sum of its proper divisors (507172251765140).

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

331431412240000 is an frugal number, since it uses more digits than its factorization.

331431412240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67916368 (or 67916341 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331431412240000 its reverse (42214134133), we get a palindrome (331473626374133).

The spelling of 331431412240000 in words is "three hundred thirty-one trillion, four hundred thirty-one billion, four hundred twelve million, two hundred forty thousand".