10304379961344 has 840 divisors, whose sum is σ = 36277338671168. Its totient is φ = 2863678095360.

The previous prime is 10304379961331. The next prime is 10304379961367. The reversal of 10304379961344 is 44316997340301.

10304379961344 is a `hidden beast` number, since 1 + 0 + 30 + 437 + 99 + 61 + 34 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3093477759 + ... + 3093481089.

Almost surely, 2^{10304379961344} is an apocalyptic number.

10304379961344 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 10304379961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138669335584).

10304379961344 is an abundant number, since it is smaller than the sum of its proper divisors (25972958709824).

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

10304379961344 is an frugal number, since it uses more digits than its factorization.

10304379961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3421 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 10304379961344 in words is "ten trillion, three hundred four billion, three hundred seventy-nine million, nine hundred sixty-one thousand, three hundred forty-four".