10400100016635 has 48 divisors (see below), whose sum is σ = 21507689844000. Its totient is φ = 4754331433152.

The previous prime is 10400100016627. The next prime is 10400100016651. The reversal of 10400100016635 is 53661000100401.

10400100016635 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 0 + 10 + 0 + 0 + 16 + 635 = 666.

It is not a de Polignac number, because 10400100016635 - 2³ = 10400100016627 is a prime.

It is a super-2 number, since 2×10400100016635² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10400100016599 and 10400100016608.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786093160 + ... + 786106389.

It is an arithmetic number, because the mean of its divisors is an integer number (448076871750).

Almost surely, 2^{10400100016635} is an apocalyptic number.

10400100016635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10400100016635 is an abundant number, since it is smaller than the sum of its proper divisors (11107589827365).

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

10400100016635 is a wasteful number, since it uses less digits than its factorization.

10400100016635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572199577 (or 1572199564 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10400100016635 in words is "ten trillion, four hundred billion, one hundred million, sixteen thousand, six hundred thirty-five".