130442340333024 has 192 divisors, whose sum is σ = 385660683233280. Its totient is φ = 42889541852160.

The previous prime is 130442340332999. The next prime is 130442340333101. The reversal of 130442340333024 is 420333043244031.

130442340333024 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 4 + 2 + 340 + 3 + 3 + 302 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130442340333024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18512529 + ... + 24568239.

It is an arithmetic number, because the mean of its divisors is an integer number (2008649391840).

Almost surely, 2^{130442340333024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130442340333024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192830341616640).

130442340333024 is an abundant number, since it is smaller than the sum of its proper divisors (255218342900256).

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

130442340333024 is a wasteful number, since it uses less digits than its factorization.

130442340333024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6056070 (or 6056056 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 130442340333024 its reverse (420333043244031), we get a palindrome (550775383577055).

The spelling of 130442340333024 in words is "one hundred thirty trillion, four hundred forty-two billion, three hundred forty million, three hundred thirty-three thousand, twenty-four".