130435140400 has 60 divisors (see below), whose sum is σ = 313712299600. Its totient is φ = 52117136640.

The previous prime is 130435140349. The next prime is 130435140439. The reversal of 130435140400 is 4041534031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190186 + ... + 545014.

Almost surely, 2^130435140400 is an apocalyptic number.

130435140400 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 130435140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156856149800).

130435140400 is an abundant number, since it is smaller than the sum of its proper divisors (183277159200).

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

130435140400 is a wasteful number, since it uses less digits than its factorization.

130435140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355766 (or 355755 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 130435140400 its reverse (4041534031), we get a palindrome (134476674431).

The spelling of 130435140400 in words is "one hundred thirty billion, four hundred thirty-five million, one hundred forty thousand, four hundred".