12319355440 has 160 divisors (see below), whose sum is σ = 33984074880. Its totient is φ = 4063567872.

The previous prime is 12319355429. The next prime is 12319355471. The reversal of 12319355440 is 4455391321.

It is a self number, because there is not a number n which added to its sum of digits gives 12319355440.

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, 5146884 + ... + 5149276.

It is an arithmetic number, because the mean of its divisors is an integer number (212400468).

Almost surely, 2^12319355440 is an apocalyptic number.

12319355440 is a gapful number since it is divisible by the number (10) 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 12319355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992037440).

12319355440 is an abundant number, since it is smaller than the sum of its proper divisors (21664719440).

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

12319355440 is a wasteful number, since it uses less digits than its factorization.

12319355440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 12319355440 in words is "twelve billion, three hundred nineteen million, three hundred fifty-five thousand, four hundred forty".