312109607040 has 1536 divisors, whose sum is σ = 1330258083840. Its totient is φ = 60825600000.

The previous prime is 312109607023. The next prime is 312109607059. The reversal of 312109607040 is 40706901213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 312109606992 and 312109607010.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2066950965 + ... + 2066951115.

It is an arithmetic number, because the mean of its divisors is an integer number (866053440).

Almost surely, 2^312109607040 is an apocalyptic number.

312109607040 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 312109607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665129041920).

312109607040 is an abundant number, since it is smaller than the sum of its proper divisors (1018148476800).

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

312109607040 is a wasteful number, since it uses less digits than its factorization.

312109607040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 312109607040 in words is "three hundred twelve billion, one hundred nine million, six hundred seven thousand, forty".