130141883246400 has 504 divisors, whose sum is σ = 464559455131200. Its totient is φ = 34554412032000.

The previous prime is 130141883246377. The next prime is 130141883246411. The reversal of 130141883246400 is 4642388141031.

130141883246400 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 188 + 3 + 2 + 464 + 0 + 0 = 666.

It is a super-2 number, since 2×130141883246400² (a number of 29 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 3406747300 + ... + 3406785500.

Almost surely, 2^{130141883246400} is an apocalyptic number.

130141883246400 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 130141883246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232279727565600).

130141883246400 is an abundant number, since it is smaller than the sum of its proper divisors (334417571884800).

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

130141883246400 is a wasteful number, since it uses less digits than its factorization.

130141883246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39247 (or 39229 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 130141883246400 in words is "one hundred thirty trillion, one hundred forty-one billion, eight hundred eighty-three million, two hundred forty-six thousand, four hundred".