130361406417 has 48 divisors (see below), whose sum is σ = 209533858560. Its totient is φ = 77432018400.

The previous prime is 130361406397. The next prime is 130361406431. The reversal of 130361406417 is 714604163031.

130361406417 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 6 + 1 + 4 + 0 + 641 + 7 = 666.

It is not a de Polignac number, because 130361406417 - 2¹⁶ = 130361340881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130361406467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899658 + ... + 1967084.

It is an arithmetic number, because the mean of its divisors is an integer number (4365288720).

Almost surely, 2^130361406417 is an apocalyptic number.

It is an amenable number.

130361406417 is a deficient number, since it is larger than the sum of its proper divisors (79172452143).

130361406417 is a wasteful number, since it uses less digits than its factorization.

130361406417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67834 (or 67831 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 130361406417 its reverse (714604163031), we get a palindrome (844965569448).

The spelling of 130361406417 in words is "one hundred thirty billion, three hundred sixty-one million, four hundred six thousand, four hundred seventeen".