10405130616 has 32 divisors (see below), whose sum is σ = 28903141200. Its totient is φ = 3468376800.

The previous prime is 10405130611. The next prime is 10405130621. The reversal of 10405130616 is 61603150401.

10405130616 is a `hidden beast` number, since 1 + 0 + 40 + 5 + 1 + 3 + 0 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (10405130611) and next prime (10405130621).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10405130616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405130611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24085735 + ... + 24086166.

Almost surely, 2^10405130616 is an apocalyptic number.

It is an amenable number.

10405130616 is an abundant number, since it is smaller than the sum of its proper divisors (18498010584).

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

10405130616 is a wasteful number, since it uses less digits than its factorization.

10405130616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48171916 (or 48171906 counting only the distinct ones).

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

The spelling of 10405130616 in words is "ten billion, four hundred five million, one hundred thirty thousand, six hundred sixteen".