312213404103440 has 120 divisors (see below), whose sum is σ = 844580429946432. Its totient is φ = 107022968236800.

The previous prime is 312213404103397. The next prime is 312213404103463. The reversal of 312213404103440 is 44301404312213.

It is a junction number, because it is equal to n+sod(n) for n = 312213404103397 and 312213404103406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11364467 + ... + 27451373.

Almost surely, 2^{312213404103440} 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 312213404103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422290214973216).

312213404103440 is an abundant number, since it is smaller than the sum of its proper divisors (532367025842992).

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

312213404103440 is a wasteful number, since it uses less digits than its factorization.

312213404103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16091885 (or 16091872 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 312213404103440 its reverse (44301404312213), we get a palindrome (356514808415653).

The spelling of 312213404103440 in words is "three hundred twelve trillion, two hundred thirteen billion, four hundred four million, one hundred three thousand, four hundred forty".