312415908480 has 384 divisors, whose sum is σ = 1173105198720. Its totient is φ = 76153872384.

The previous prime is 312415908479. The next prime is 312415908521. The reversal of 312415908480 is 84809514213.

312415908480 is a `hidden beast` number, since 3 + 12 + 4 + 1 + 590 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7692387 + ... + 7732893.

It is an arithmetic number, because the mean of its divisors is an integer number (3054961455).

Almost surely, 2^312415908480 is an apocalyptic number.

312415908480 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 312415908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586552599360).

312415908480 is an abundant number, since it is smaller than the sum of its proper divisors (860689290240).

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

312415908480 is a wasteful number, since it uses less digits than its factorization.

312415908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40648 (or 40633 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 312415908480 in words is "three hundred twelve billion, four hundred fifteen million, nine hundred eight thousand, four hundred eighty".