312785440047360 has 2880 divisors, whose sum is σ = 1367785137438720. Its totient is φ = 66664362147840.

The previous prime is 312785440047359. The next prime is 312785440047407. The reversal of 312785440047360 is 63740044587213.

312785440047360 is a `hidden beast` number, since 3 + 1 + 2 + 78 + 5 + 4 + 40 + 0 + 473 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 312785440047297 and 312785440047306.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 271279652544 + ... + 271279653696.

It is an arithmetic number, because the mean of its divisors is an integer number (474925394944).

Almost surely, 2^{312785440047360} is an apocalyptic number.

312785440047360 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 312785440047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683892568719360).

312785440047360 is an abundant number, since it is smaller than the sum of its proper divisors (1054999697391360).

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

312785440047360 is a wasteful number, since it uses less digits than its factorization.

312785440047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 312785440047360 in words is "three hundred twelve trillion, seven hundred eighty-five billion, four hundred forty million, forty-seven thousand, three hundred sixty".