12919406610240 has 3360 divisors, whose sum is σ = 58021405643520. Its totient is φ = 2705444831232.

The previous prime is 12919406610211. The next prime is 12919406610251. The reversal of 12919406610240 is 4201660491921.

12919406610240 is a `hidden beast` number, since 1 + 2 + 9 + 1 + 9 + 4 + 0 + 6 + 610 + 24 + 0 = 666.

It is a super-2 number, since 2×12919406610240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 32542585722 + ... + 32542586118.

Almost surely, 2^{12919406610240} is an apocalyptic number.

12919406610240 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 12919406610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29010702821760).

12919406610240 is an abundant number, since it is smaller than the sum of its proper divisors (45101999033280).

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

12919406610240 is a wasteful number, since it uses less digits than its factorization.

12919406610240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 12919406610240 in words is "twelve trillion, nine hundred nineteen billion, four hundred six million, six hundred ten thousand, two hundred forty".