130004181964800 has 4608 divisors, whose sum is σ = 594310261708800. Its totient is φ = 27748152115200.

The previous prime is 130004181964757. The next prime is 130004181964829. The reversal of 130004181964800 is 8469181400031.

130004181964800 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 0 + 4 + 1 + 81 + 96 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 368283801424 + ... + 368283801776.

It is an arithmetic number, because the mean of its divisors is an integer number (128973581100).

Almost surely, 2^{130004181964800} is an apocalyptic number.

130004181964800 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 130004181964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297155130854400).

130004181964800 is an abundant number, since it is smaller than the sum of its proper divisors (464306079744000).

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

130004181964800 is a wasteful number, since it uses less digits than its factorization.

130004181964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 130004181964800 in words is "one hundred thirty trillion, four billion, one hundred eighty-one million, nine hundred sixty-four thousand, eight hundred".