130420382400 has 2268 divisors, whose sum is σ = 635290508944. Its totient is φ = 24816844800.

The previous prime is 130420382399. The next prime is 130420382423. The reversal of 130420382400 is 4283024031.

It is a super-2 number, since 2×130420382400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 3524875182 + ... + 3524875218.

Almost surely, 2^130420382400 is an apocalyptic number.

130420382400 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 130420382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317645254472).

130420382400 is an abundant number, since it is smaller than the sum of its proper divisors (504870126544).

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

130420382400 is a wasteful number, since it uses less digits than its factorization.

130420382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 130420382400 in words is "one hundred thirty billion, four hundred twenty million, three hundred eighty-two thousand, four hundred".