13442200400 has 120 divisors (see below), whose sum is σ = 32727262464. Its totient is φ = 5305305600.

The previous prime is 13442200367. The next prime is 13442200411. The reversal of 13442200400 is 400224431.

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 23 ways as a sum of consecutive naturals, for example, 17756822 + ... + 17757578.

Almost surely, 2^13442200400 is an apocalyptic number.

13442200400 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 13442200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16363631232).

13442200400 is an abundant number, since it is smaller than the sum of its proper divisors (19285062064).

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

13442200400 is a wasteful number, since it uses less digits than its factorization.

13442200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13442200400 its reverse (400224431), we get a palindrome (13842424831).

The spelling of 13442200400 in words is "thirteen billion, four hundred forty-two million, two hundred thousand, four hundred".