312342303304440 has 128 divisors (see below), whose sum is σ = 1041486801004800. Its totient is φ = 83263617682560.

The previous prime is 312342303304403. The next prime is 312342303304453. The reversal of 312342303304440 is 44403303243213.

312342303304440 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 4 + 2 + 303 + 304 + 4 + 40 = 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 = 312342303304395 and 312342303304404.

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, 44773002 + ... + 51276761.

It is an arithmetic number, because the mean of its divisors is an integer number (8136615632850).

Almost surely, 2^{312342303304440} is an apocalyptic number.

312342303304440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312342303304440 is an abundant number, since it is smaller than the sum of its proper divisors (729144497700360).

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

312342303304440 is a wasteful number, since it uses less digits than its factorization.

312342303304440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96052794 (or 96052784 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 312342303304440 its reverse (44403303243213), we get a palindrome (356745606547653).

The spelling of 312342303304440 in words is "three hundred twelve trillion, three hundred forty-two billion, three hundred three million, three hundred four thousand, four hundred forty".