130434444444444 has 192 divisors, whose sum is σ = 351697171617792. Its totient is φ = 36854673408000.

The previous prime is 130434444444443. The next prime is 130434444444449. The reversal of 130434444444444 is 444444444434031.

130434444444444 is a modest number, since divided by 44444444 gives 1304344 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434444444443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2876721214 + ... + 2876766554.

It is an arithmetic number, because the mean of its divisors is an integer number (1831756102176).

Almost surely, 2^{130434444444444} is an apocalyptic number.

130434444444444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130434444444444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175848585808896).

130434444444444 is an abundant number, since it is smaller than the sum of its proper divisors (221262727173348).

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

130434444444444 is a wasteful number, since it uses less digits than its factorization.

130434444444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46516 (or 46514 counting only the distinct ones).

The product of its (nonzero) digits is 37748736, while the sum is 51.

Adding to 130434444444444 its reverse (444444444434031), we get a palindrome (574878888878475).

The spelling of 130434444444444 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-four thousand, four hundred forty-four".