13431354400 has 72 divisors (see below), whose sum is σ = 32901776964. Its totient is φ = 5354112000.

The previous prime is 13431354383. The next prime is 13431354403. The reversal of 13431354400 is 445313431.

It can be written as a sum of positive squares in 6 ways, for example, as 6075890704 + 7355463696 = 77948^2 + 85764^2 .

It is not an unprimeable number, because it can be changed into a prime (13431354403) 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, 205750 + ... + 263050.

Almost surely, 2^13431354400 is an apocalyptic number.

13431354400 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 13431354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450888482).

13431354400 is an abundant number, since it is smaller than the sum of its proper divisors (19470422564).

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

13431354400 is a wasteful number, since it uses less digits than its factorization.

13431354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57614 (or 57601 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 13431354400 its reverse (445313431), we get a palindrome (13876667831).

The spelling of 13431354400 in words is "thirteen billion, four hundred thirty-one million, three hundred fifty-four thousand, four hundred".