10557142641 has 16 divisors (see below), whose sum is σ = 15733872000. Its totient is φ = 6995947824.

The previous prime is 10557142637. The next prime is 10557142699. The reversal of 10557142641 is 14624175501.

10557142641 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 7 + 1 + 4 + 2 + 641 = 666.

It is not a de Polignac number, because 10557142641 - 2² = 10557142637 is a prime.

It is a super-2 number, since 2×10557142641² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10557142596 and 10557142605.

It is not an unprimeable number, because it can be changed into a prime (10557142621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166166 + ... + 1175183.

It is an arithmetic number, because the mean of its divisors is an integer number (983367000).

Almost surely, 2^10557142641 is an apocalyptic number.

It is an amenable number.

10557142641 is a deficient number, since it is larger than the sum of its proper divisors (5176729359).

10557142641 is a wasteful number, since it uses less digits than its factorization.

10557142641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2341525 (or 2341519 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 10557142641 in words is "ten billion, five hundred fifty-seven million, one hundred forty-two thousand, six hundred forty-one".