130093044480 has 432 divisors, whose sum is σ = 515698747200. Its totient is φ = 29661069312.

The previous prime is 130093044439. The next prime is 130093044503. The reversal of 130093044480 is 84440390031.

130093044480 is a `hidden beast` number, since 1 + 300 + 9 + 304 + 4 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 36205564 + ... + 36209156.

It is an arithmetic number, because the mean of its divisors is an integer number (1193747100).

Almost surely, 2^130093044480 is an apocalyptic number.

130093044480 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 130093044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257849373600).

130093044480 is an abundant number, since it is smaller than the sum of its proper divisors (385605702720).

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

130093044480 is a wasteful number, since it uses less digits than its factorization.

130093044480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 130093044480 in words is "one hundred thirty billion, ninety-three million, forty-four thousand, four hundred eighty".