312392509240 has 128 divisors (see below), whose sum is σ = 820668672000. Its totient is φ = 104813549568.

The previous prime is 312392509237. The next prime is 312392509243. The reversal of 312392509240 is 42905293213.

It is an interprime number because it is at equal distance from previous prime (312392509237) and next prime (312392509243).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 312392509193 and 312392509202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312392509243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437071 + ... + 2562049.

It is an arithmetic number, because the mean of its divisors is an integer number (6411474000).

Almost surely, 2^312392509240 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 312392509240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410334336000).

312392509240 is an abundant number, since it is smaller than the sum of its proper divisors (508276162760).

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

312392509240 is a wasteful number, since it uses less digits than its factorization.

312392509240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125189 (or 125185 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 312392509240 in words is "three hundred twelve billion, three hundred ninety-two million, five hundred nine thousand, two hundred forty".