312210414332432 has 160 divisors (see below), whose sum is σ = 794442079595520. Its totient is φ = 115154350133760.

The previous prime is 312210414332407. The next prime is 312210414332507. The reversal of 312210414332432 is 234233414012213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312210414332392 and 312210414332401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27282023 + ... + 36996345.

It is an arithmetic number, because the mean of its divisors is an integer number (4965262997472).

Almost surely, 2^{312210414332432} 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 312210414332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397221039797760).

312210414332432 is an abundant number, since it is smaller than the sum of its proper divisors (482231665263088).

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

312210414332432 is a wasteful number, since it uses less digits than its factorization.

312210414332432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9715741 (or 9715735 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 35.

Adding to 312210414332432 its reverse (234233414012213), we get a palindrome (546443828344645).

The spelling of 312210414332432 in words is "three hundred twelve trillion, two hundred ten billion, four hundred fourteen million, three hundred thirty-two thousand, four hundred thirty-two".