12393040310784 has 840 divisors, whose sum is σ = 43309495099728. Its totient is φ = 3530851430400.

The previous prime is 12393040310753. The next prime is 12393040310797. The reversal of 12393040310784 is 48701304039321.

12393040310784 is a `hidden beast` number, since 1 + 2 + 39 + 30 + 403 + 107 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8541033259 + ... + 8541034709.

Almost surely, 2^{12393040310784} is an apocalyptic number.

12393040310784 is a gapful number since it is divisible by the number (14) 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 12393040310784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21654747549864).

12393040310784 is an abundant number, since it is smaller than the sum of its proper divisors (30916454788944).

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

12393040310784 is an frugal number, since it uses more digits than its factorization.

12393040310784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 12393040310784 in words is "twelve trillion, three hundred ninety-three billion, forty million, three hundred ten thousand, seven hundred eighty-four".