10401677661 has 16 divisors (see below), whose sum is σ = 14645512640. Its totient is φ = 6548480640.

The previous prime is 10401677641. The next prime is 10401677669. The reversal of 10401677661 is 16677610401.

It is not a de Polignac number, because 10401677661 - 2²⁷ = 10267459933 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401677669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273670 + ... + 309351.

It is an arithmetic number, because the mean of its divisors is an integer number (915344540).

Almost surely, 2^10401677661 is an apocalyptic number.

It is an amenable number.

10401677661 is a deficient number, since it is larger than the sum of its proper divisors (4243834979).

10401677661 is a wasteful number, since it uses less digits than its factorization.

10401677661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583356.

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 10401677661 in words is "ten billion, four hundred one million, six hundred seventy-seven thousand, six hundred sixty-one".