130434444430400 has 168 divisors, whose sum is σ = 358270053978144. Its totient is φ = 46327667097600.

The previous prime is 130434444430331. The next prime is 130434444430457. The reversal of 130434444430400 is 4034444434031.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85418177 + ... + 86931776.

It is an arithmetic number, because the mean of its divisors is an integer number (2132559845108).

Almost surely, 2^{130434444430400} is an apocalyptic number.

130434444430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434444430400 is an abundant number, since it is smaller than the sum of its proper divisors (227835609547744).

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

130434444430400 is a wasteful number, since it uses less digits than its factorization.

130434444430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172350029 (or 172350014 counting only the distinct ones).

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

Adding to 130434444430400 its reverse (4034444434031), we get a palindrome (134468888864431).

The spelling of 130434444430400 in words is "one hundred thirty trillion, four hundred thirty-four billion, four hundred forty-four million, four hundred thirty thousand, four hundred".