312430010014440 has 384 divisors, whose sum is σ = 1029166900070400. Its totient is φ = 82194177461760.

The previous prime is 312430010014333. The next prime is 312430010014511. The reversal of 312430010014440 is 44410010034213.

312430010014440 is a `hidden beast` number, since 312 + 4 + 300 + 1 + 0 + 0 + 1 + 4 + 4 + 40 = 666.

It is a super-2 number, since 2×312430010014440² (a number of 30 digits) contains 22 as substring.

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, 5628226285 + ... + 5628281795.

It is an arithmetic number, because the mean of its divisors is an integer number (2680122135600).

Almost surely, 2^{312430010014440} is an apocalyptic number.

312430010014440 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 312430010014440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514583450035200).

312430010014440 is an abundant number, since it is smaller than the sum of its proper divisors (716736890055960).

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

312430010014440 is a wasteful number, since it uses less digits than its factorization.

312430010014440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56397 (or 56390 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312430010014440 its reverse (44410010034213), we get a palindrome (356840020048653).

The spelling of 312430010014440 in words is "three hundred twelve trillion, four hundred thirty billion, ten million, fourteen thousand, four hundred forty".