130440021142024 has 128 divisors (see below), whose sum is σ = 275822807040000. Its totient is φ = 57319300684800.

The previous prime is 130440021142003. The next prime is 130440021142063. The reversal of 130440021142024 is 420241120044031.

130440021142024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130440021141983 and 130440021142001.

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, 143372592 + ... + 144279520.

It is an arithmetic number, because the mean of its divisors is an integer number (2154865680000).

Almost surely, 2^{130440021142024} 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 130440021142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137911403520000).

130440021142024 is an abundant number, since it is smaller than the sum of its proper divisors (145382785897976).

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

130440021142024 is a wasteful number, since it uses less digits than its factorization.

130440021142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907379 (or 907375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 130440021142024 its reverse (420241120044031), we get a palindrome (550681141186055).

The spelling of 130440021142024 in words is "one hundred thirty trillion, four hundred forty billion, twenty-one million, one hundred forty-two thousand, twenty-four".