312742086379840 has 224 divisors, whose sum is σ = 805071608893440. Its totient is φ = 115032296448000.

The previous prime is 312742086379817. The next prime is 312742086379861. The reversal of 312742086379840 is 48973680247213.

It is a super-2 number, since 2×312742086379840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 11351374065 + ... + 11351401615.

It is an arithmetic number, because the mean of its divisors is an integer number (3594069682560).

Almost surely, 2^{312742086379840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312742086379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402535804446720).

312742086379840 is an abundant number, since it is smaller than the sum of its proper divisors (492329522513600).

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

312742086379840 is a wasteful number, since it uses less digits than its factorization.

312742086379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37921 (or 37911 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 312742086379840 in words is "three hundred twelve trillion, seven hundred forty-two billion, eighty-six million, three hundred seventy-nine thousand, eight hundred forty".