10409101953066 has 64 divisors (see below), whose sum is σ = 24377323420800. Its totient is φ = 3283230993408.

The previous prime is 10409101953023. The next prime is 10409101953073. The reversal of 10409101953066 is 66035910190401.

10409101953066 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 101 + 9 + 530 + 6 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5071671 + ... + 6822026.

It is an arithmetic number, because the mean of its divisors is an integer number (380895678450).

Almost surely, 2^{10409101953066} is an apocalyptic number.

10409101953066 is an abundant number, since it is smaller than the sum of its proper divisors (13968221467734).

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

10409101953066 is a wasteful number, since it uses less digits than its factorization.

10409101953066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11894580 (or 11894574 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 10409101953066 in words is "ten trillion, four hundred nine billion, one hundred one million, nine hundred fifty-three thousand, sixty-six".