130461327440400 has 120 divisors (see below), whose sum is σ = 455903038846944. Its totient is φ = 31626988467200.

The previous prime is 130461327440377. The next prime is 130461327440407. The reversal of 130461327440400 is 4044723164031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×130461327440400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130461327440407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4941703749 + ... + 4941730148.

Almost surely, 2^{130461327440400} is an apocalyptic number.

130461327440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130461327440400 is an abundant number, since it is smaller than the sum of its proper divisors (325441711406544).

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

130461327440400 is a wasteful number, since it uses less digits than its factorization.

130461327440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883433929 (or 9883433918 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 130461327440400 in words is "one hundred thirty trillion, four hundred sixty-one billion, three hundred twenty-seven million, four hundred forty thousand, four hundred".