130909640800 has 72 divisors (see below), whose sum is σ = 328220617536. Its totient is φ = 50948605440.

The previous prime is 130909640791. The next prime is 130909640857. The reversal of 130909640800 is 8046909031.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2181712 + ... + 2240911.

It is an arithmetic number, because the mean of its divisors is an integer number (4558619688).

Almost surely, 2^130909640800 is an apocalyptic number.

130909640800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130909640800 is an abundant number, since it is smaller than the sum of its proper divisors (197310976736).

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

130909640800 is a wasteful number, since it uses less digits than its factorization.

130909640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4422680 (or 4422667 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 130909640800 in words is "one hundred thirty billion, nine hundred nine million, six hundred forty thousand, eight hundred".