312350522940 has 288 divisors, whose sum is σ = 980567078400. Its totient is φ = 80441786880.

The previous prime is 312350522899. The next prime is 312350522959. The reversal of 312350522940 is 49225053213.

312350522940 is a `hidden beast` number, since 3 + 12 + 35 + 0 + 522 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312350522895 and 312350522904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 285773034 + ... + 285774126.

It is an arithmetic number, because the mean of its divisors is an integer number (3404746800).

Almost surely, 2^312350522940 is an apocalyptic number.

312350522940 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 312350522940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490283539200).

312350522940 is an abundant number, since it is smaller than the sum of its proper divisors (668216555460).

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

312350522940 is a wasteful number, since it uses less digits than its factorization.

312350522940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 312350522940 in words is "three hundred twelve billion, three hundred fifty million, five hundred twenty-two thousand, nine hundred forty".