130440000310400 has 192 divisors, whose sum is σ = 355756178584800. Its totient is φ = 46861247692800.

The previous prime is 130440000310397. The next prime is 130440000310409. The reversal of 130440000310400 is 4013000044031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (130440000310409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19401785 + ... + 25244984.

Almost surely, 2^{130440000310400} is an apocalyptic number.

130440000310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130440000310400 is an abundant number, since it is smaller than the sum of its proper divisors (225316178274400).

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

130440000310400 is a wasteful number, since it uses less digits than its factorization.

130440000310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44646887 (or 44646870 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 130440000310400 its reverse (4013000044031), we get a palindrome (134453000354431).

The spelling of 130440000310400 in words is "one hundred thirty trillion, four hundred forty billion, three hundred ten thousand, four hundred".