331404112002432 has 128 divisors (see below), whose sum is σ = 1012456148739840. Its totient is φ = 94083787819008.

The previous prime is 331404112002419. The next prime is 331404112002437. The reversal of 331404112002432 is 234200211404133.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 331404112002432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331404112002437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392221998 + ... + 393066029.

It is an arithmetic number, because the mean of its divisors is an integer number (7909813662030).

Almost surely, 2^{331404112002432} is an apocalyptic number.

331404112002432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331404112002432 is an abundant number, since it is smaller than the sum of its proper divisors (681052036737408).

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

331404112002432 is a wasteful number, since it uses less digits than its factorization.

331404112002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785288208 (or 785288196 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 331404112002432 its reverse (234200211404133), we get a palindrome (565604323406565).

The spelling of 331404112002432 in words is "three hundred thirty-one trillion, four hundred four billion, one hundred twelve million, two thousand, four hundred thirty-two".