14475302400 has 480 divisors, whose sum is σ = 52169660928. Its totient is φ = 3516825600.

The previous prime is 14475302357. The next prime is 14475302407. The reversal of 14475302400 is 420357441.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14475302407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53414265 + ... + 53414535.

Almost surely, 2^14475302400 is an apocalyptic number.

14475302400 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 14475302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26084830464).

14475302400 is an abundant number, since it is smaller than the sum of its proper divisors (37694358528).

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

14475302400 is a wasteful number, since it uses less digits than its factorization.

14475302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

Adding to 14475302400 its reverse (420357441), we get a palindrome (14895659841).

The spelling of 14475302400 in words is "fourteen billion, four hundred seventy-five million, three hundred two thousand, four hundred".