13431004400 has 240 divisors, whose sum is σ = 36115271808. Its totient is φ = 4758912000.

The previous prime is 13431004387. The next prime is 13431004421. The reversal of 13431004400 is 440013431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43749047 + ... + 43749353.

Almost surely, 2^13431004400 is an apocalyptic number.

13431004400 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 13431004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18057635904).

13431004400 is an abundant number, since it is smaller than the sum of its proper divisors (22684267408).

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

13431004400 is a wasteful number, since it uses less digits than its factorization.

13431004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

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

Adding to 13431004400 its reverse (440013431), we get a palindrome (13871017831).

The spelling of 13431004400 in words is "thirteen billion, four hundred thirty-one million, four thousand, four hundred".