14480798400 has 252 divisors, whose sum is σ = 52051077000. Its totient is φ = 3817820160.

The previous prime is 14480798347. The next prime is 14480798411. The reversal of 14480798400 is 489708441.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1275951 + ... + 1287249.

Almost surely, 2^14480798400 is an apocalyptic number.

14480798400 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 14480798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025538500).

14480798400 is an abundant number, since it is smaller than the sum of its proper divisors (37570278600).

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

14480798400 is a wasteful number, since it uses less digits than its factorization.

14480798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11416 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 14480798400 in words is "fourteen billion, four hundred eighty million, seven hundred ninety-eight thousand, four hundred".