130401369600 has 480 divisors, whose sum is σ = 464841542880. Its totient is φ = 32102154240.

The previous prime is 130401369599. The next prime is 130401369607. The reversal of 130401369600 is 6963104031.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130401369607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34596516 + ... + 34600284.

It is an arithmetic number, because the mean of its divisors is an integer number (968419881).

Almost surely, 2^130401369600 is an apocalyptic number.

130401369600 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 130401369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232420771440).

130401369600 is an abundant number, since it is smaller than the sum of its proper divisors (334440173280).

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

130401369600 is a wasteful number, since it uses less digits than its factorization.

130401369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3870 (or 3849 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 130401369600 in words is "one hundred thirty billion, four hundred one million, three hundred sixty-nine thousand, six hundred".