8344396431360 has 1088 divisors, whose sum is σ = 32614659072000. Its totient is φ = 2007383408640.

The previous prime is 8344396431289. The next prime is 8344396431403. The reversal of 8344396431360 is 631346934438.

It is a happy number.

8344396431360 is a `hidden beast` number, since 8 + 3 + 443 + 9 + 64 + 3 + 136 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8344396431297 and 8344396431306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17420451601 + ... + 17420452079.

Almost surely, 2^{8344396431360} is an apocalyptic number.

8344396431360 is a gapful number since it is divisible by the number (80) 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 8344396431360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16307329536000).

8344396431360 is an abundant number, since it is smaller than the sum of its proper divisors (24270262640640).

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

8344396431360 is a wasteful number, since it uses less digits than its factorization.

8344396431360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 8344396431360 in words is "eight trillion, three hundred forty-four billion, three hundred ninety-six million, four hundred thirty-one thousand, three hundred sixty".