312465511740 has 96 divisors (see below), whose sum is σ = 928679701824. Its totient is φ = 78227046400.

The previous prime is 312465511717. The next prime is 312465511789. The reversal of 312465511740 is 47115564213.

It is a congruent number.

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, 27052 + ... + 790988.

It is an arithmetic number, because the mean of its divisors is an integer number (9673746894).

Almost surely, 2^312465511740 is an apocalyptic number.

312465511740 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 312465511740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464339850912).

312465511740 is an abundant number, since it is smaller than the sum of its proper divisors (616214190084).

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

312465511740 is a wasteful number, since it uses less digits than its factorization.

312465511740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764367 (or 764365 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 312465511740 in words is "three hundred twelve billion, four hundred sixty-five million, five hundred eleven thousand, seven hundred forty".