20130434400 has 144 divisors (see below), whose sum is σ = 69379090704. Its totient is φ = 5052334080.

The previous prime is 20130434399. The next prime is 20130434453. The reversal of 20130434400 is 443403102.

It is a congruent number.

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, 205897 + ... + 287496.

It is an arithmetic number, because the mean of its divisors is an integer number (481799241).

Almost surely, 2^20130434400 is an apocalyptic number.

20130434400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20130434400 is an abundant number, since it is smaller than the sum of its proper divisors (49248656304).

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

20130434400 is a wasteful number, since it uses less digits than its factorization.

20130434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493433 (or 493420 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20130434400 its reverse (443403102), we get a palindrome (20573837502).

The spelling of 20130434400 in words is "twenty billion, one hundred thirty million, four hundred thirty-four thousand, four hundred".