312192944640 has 480 divisors, whose sum is σ = 1101118898880. Its totient is φ = 81730142208.

The previous prime is 312192944629. The next prime is 312192944653. The reversal of 312192944640 is 46449291213.

312192944640 is a `hidden beast` number, since 3 + 12 + 1 + 92 + 94 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 704724259 + ... + 704724701.

It is an arithmetic number, because the mean of its divisors is an integer number (2293997706).

Almost surely, 2^312192944640 is an apocalyptic number.

312192944640 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 312192944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550559449440).

312192944640 is an abundant number, since it is smaller than the sum of its proper divisors (788925954240).

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

312192944640 is a wasteful number, since it uses less digits than its factorization.

312192944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 312192944640 in words is "three hundred twelve billion, one hundred ninety-two million, nine hundred forty-four thousand, six hundred forty".