14254424400 has 120 divisors (see below), whose sum is σ = 46010742624. Its totient is φ = 3772121600.

The previous prime is 14254424357. The next prime is 14254424417. The reversal of 14254424400 is 442445241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14254424400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 111862 + ... + 202538.

Almost surely, 2^14254424400 is an apocalyptic number.

14254424400 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 14254424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23005371312).

14254424400 is an abundant number, since it is smaller than the sum of its proper divisors (31756318224).

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

14254424400 is a wasteful number, since it uses less digits than its factorization.

14254424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90829 (or 90818 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 14254424400 its reverse (442445241), we get a palindrome (14696869641).

The spelling of 14254424400 in words is "fourteen billion, two hundred fifty-four million, four hundred twenty-four thousand, four hundred".