13431420400 has 60 divisors (see below), whose sum is σ = 33672010032. Its totient is φ = 5138974720.

The previous prime is 13431420337. The next prime is 13431420407. The reversal of 13431420400 is 402413431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431420407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 720769 + ... + 739168.

Almost surely, 2^13431420400 is an apocalyptic number.

13431420400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431420400 is an abundant number, since it is smaller than the sum of its proper divisors (20240589632).

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

13431420400 is a wasteful number, since it uses less digits than its factorization.

13431420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459978 (or 1459967 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13431420400 its reverse (402413431), we get a palindrome (13833833831).

The spelling of 13431420400 in words is "thirteen billion, four hundred thirty-one million, four hundred twenty thousand, four hundred".