10404609698304 has 600 divisors, whose sum is σ = 31999982578740. Its totient is φ = 3365570248704.

The previous prime is 10404609698281. The next prime is 10404609698363. The reversal of 10404609698304 is 40389690640401.

It is a happy number.

10404609698304 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 460 + 96 + 98 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10334939040000 + 69670658304 = 3214800^2 + 263952^2 .

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 59 ways as a sum of consecutive naturals, for example, 12550795362 + ... + 12550796190.

Almost surely, 2^{10404609698304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10404609698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999991289370).

10404609698304 is an abundant number, since it is smaller than the sum of its proper divisors (21595372880436).

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

10404609698304 is an frugal number, since it uses more digits than its factorization.

10404609698304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 10404609698304 in words is "ten trillion, four hundred four billion, six hundred nine million, six hundred ninety-eight thousand, three hundred four".