312372471840 has 384 divisors, whose sum is σ = 1160666164224. Its totient is φ = 69619200000.

The previous prime is 312372471839. The next prime is 312372471841. The reversal of 312372471840 is 48174273213.

It is an interprime number because it is at equal distance from previous prime (312372471839) and next prime (312372471841).

It is a super-2 number, since 2×312372471840² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312372471792 and 312372471801.

It is not an unprimeable number, because it can be changed into a prime (312372471841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17219575 + ... + 17237705.

It is an arithmetic number, because the mean of its divisors is an integer number (3022568136).

Almost surely, 2^312372471840 is an apocalyptic number.

312372471840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312372471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580333082112).

312372471840 is an abundant number, since it is smaller than the sum of its proper divisors (848293692384).

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

312372471840 is a wasteful number, since it uses less digits than its factorization.

312372471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18424 (or 18416 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 312372471840 in words is "three hundred twelve billion, three hundred seventy-two million, four hundred seventy-one thousand, eight hundred forty".