10405618641 has 64 divisors (see below), whose sum is σ = 17783808000. Its totient is φ = 5947007040.

The previous prime is 10405618637. The next prime is 10405618651. The reversal of 10405618641 is 14681650401.

10405618641 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 6 + 1 + 8 + 641 = 666.

It is not a de Polignac number, because 10405618641 - 2² = 10405618637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10405618596 and 10405618605.

It is not an unprimeable number, because it can be changed into a prime (10405618651) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254255 + ... + 1262523.

It is an arithmetic number, because the mean of its divisors is an integer number (277872000).

Almost surely, 2^10405618641 is an apocalyptic number.

10405618641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10405618641 is a deficient number, since it is larger than the sum of its proper divisors (7378189359).

10405618641 is a wasteful number, since it uses less digits than its factorization.

10405618641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 8525 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10405618641 in words is "ten billion, four hundred five million, six hundred eighteen thousand, six hundred forty-one".