14244133400 has 288 divisors, whose sum is σ = 41094624240. Its totient is φ = 4562288640.

The previous prime is 14244133399. The next prime is 14244133511. The reversal of 14244133400 is 433144241.

It is a self number, because there is not a number n which added to its sum of digits gives 14244133400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32153579 + ... + 32154021.

Almost surely, 2^14244133400 is an apocalyptic number.

14244133400 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 14244133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20547312120).

14244133400 is an abundant number, since it is smaller than the sum of its proper divisors (26850490840).

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

14244133400 is a wasteful number, since it uses less digits than its factorization.

14244133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 14244133400 its reverse (433144241), we get a palindrome (14677277641).

The spelling of 14244133400 in words is "fourteen billion, two hundred forty-four million, one hundred thirty-three thousand, four hundred".