130401432968400 has 360 divisors, whose sum is σ = 507010602574944. Its totient is φ = 30758077209600.

The previous prime is 130401432968293. The next prime is 130401432968419. The reversal of 130401432968400 is 4869234104031.

130401432968400 is a `hidden beast` number, since 1 + 3 + 0 + 40 + 143 + 2 + 9 + 68 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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, 43034334 + ... + 45964733.

Almost surely, 2^{130401432968400} is an apocalyptic number.

130401432968400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130401432968400 is an abundant number, since it is smaller than the sum of its proper divisors (376609169606544).

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

130401432968400 is a wasteful number, since it uses less digits than its factorization.

130401432968400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88999139 (or 88999125 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 130401432968400 in words is "one hundred thirty trillion, four hundred one billion, four hundred thirty-two million, nine hundred sixty-eight thousand, four hundred".