130427677440 has 360 divisors, whose sum is σ = 494153352000. Its totient is φ = 32734347264.

The previous prime is 130427677439. The next prime is 130427677477. The reversal of 130427677440 is 44776724031.

130427677440 is a `hidden beast` number, since 1 + 30 + 42 + 76 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×130427677440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1725561 + ... + 1799559.

It is an arithmetic number, because the mean of its divisors is an integer number (1372648200).

Almost surely, 2^130427677440 is an apocalyptic number.

130427677440 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 130427677440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247076676000).

130427677440 is an abundant number, since it is smaller than the sum of its proper divisors (363725674560).

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

130427677440 is an equidigital number, since it uses as much as digits as its factorization.

130427677440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74049 (or 74026 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 130427677440 in words is "one hundred thirty billion, four hundred twenty-seven million, six hundred seventy-seven thousand, four hundred forty".