312253050254040 has 192 divisors, whose sum is σ = 1168262716944960. Its totient is φ = 70851161272320.

The previous prime is 312253050254011. The next prime is 312253050254069. The reversal of 312253050254040 is 40452050352213.

312253050254040 is a `hidden beast` number, since 3 + 1 + 2 + 25 + 3 + 0 + 50 + 2 + 540 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (312253050254011) and next prime (312253050254069).

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 = 312253050253986 and 312253050254004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451880821 + ... + 452571300.

It is an arithmetic number, because the mean of its divisors is an integer number (6084701650755).

Almost surely, 2^{312253050254040} is an apocalyptic number.

312253050254040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312253050254040 is an abundant number, since it is smaller than the sum of its proper divisors (856009666690920).

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

312253050254040 is a wasteful number, since it uses less digits than its factorization.

312253050254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904452282 (or 904452275 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 312253050254040 in words is "three hundred twelve trillion, two hundred fifty-three billion, fifty million, two hundred fifty-four thousand, forty".