130434444443000 has 256 divisors, whose sum is σ = 330501838118400. Its totient is φ = 48003072000000.

The previous prime is 130434444442933. The next prime is 130434444443011. The reversal of 130434444443000 is 344444434031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135162200 + ... + 136123800.

It is an arithmetic number, because the mean of its divisors is an integer number (1291022805150).

Almost surely, 2^{130434444443000} is an apocalyptic number.

130434444443000 is a gapful number since it is divisible by the number (10) 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 130434444443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165250919059200).

130434444443000 is an abundant number, since it is smaller than the sum of its proper divisors (200067393675400).

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

130434444443000 is a wasteful number, since it uses less digits than its factorization.

130434444443000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961819 (or 961805 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 130434444443000 its reverse (344444434031), we get a palindrome (130778888877031).

The spelling of 130434444443000 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred forty-three thousand".