130861415040 has 128 divisors (see below), whose sum is σ = 418143124800. Its totient is φ = 34810847232.

The previous prime is 130861415029. The next prime is 130861415057. The reversal of 130861415040 is 40514168031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×130861415040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130861414992 and 130861415010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 701959 + ... + 868601.

Almost surely, 2^130861415040 is an apocalyptic number.

130861415040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130861415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209071562400).

130861415040 is an abundant number, since it is smaller than the sum of its proper divisors (287281709760).

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

130861415040 is a wasteful number, since it uses less digits than its factorization.

130861415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167074 (or 167062 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 130861415040 in words is "one hundred thirty billion, eight hundred sixty-one million, four hundred fifteen thousand, forty".