312401040320 has 112 divisors (see below), whose sum is σ = 767974738368. Its totient is φ = 120952258560.

The previous prime is 312401040319. The next prime is 312401040349. The reversal of 312401040320 is 23040104213.

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

It is a junction number, because it is equal to n+sod(n) for n = 312401040292 and 312401040301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2216765 + ... + 2353475.

Almost surely, 2^312401040320 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 312401040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383987369184).

312401040320 is an abundant number, since it is smaller than the sum of its proper divisors (455573698048).

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

312401040320 is a wasteful number, since it uses less digits than its factorization.

312401040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136958 (or 136948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 312401040320 its reverse (23040104213), we get a palindrome (335441144533).

The spelling of 312401040320 in words is "three hundred twelve billion, four hundred one million, forty thousand, three hundred twenty".