10405630802176 has 27 divisors (see below), whose sum is σ = 20770717632763. Its totient is φ = 5202789594880.

The previous prime is 10405630802117. The next prime is 10405630802183. The reversal of 10405630802176 is 67120803650401.

The square root of 10405630802176 is 3225776.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 51511611 + ... + 51713221.

Almost surely, 2^{10405630802176} is an apocalyptic number.

10405630802176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10405630802176 is the 3225776-th square number.

It is an amenable number.

10405630802176 is a deficient number, since it is larger than the sum of its proper divisors (10365086830587).

10405630802176 is an frugal number, since it uses more digits than its factorization.

10405630802176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403238 (or 201613 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 10405630802176 in words is "ten trillion, four hundred five billion, six hundred thirty million, eight hundred two thousand, one hundred seventy-six".