14803430400 has 990 divisors, whose sum is σ = 61272810060. Its totient is φ = 3527884800.

The previous prime is 14803430387. The next prime is 14803430443. The reversal of 14803430400 is 403430841.

It is a tau number, because it is divible by the number of its divisors (990).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250905571 + ... + 250905629.

Almost surely, 2^14803430400 is an apocalyptic number.

14803430400 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 14803430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30636405030).

14803430400 is an abundant number, since it is smaller than the sum of its proper divisors (46469379660).

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

14803430400 is a wasteful number, since it uses less digits than its factorization.

14803430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 14803430400 in words is "fourteen billion, eight hundred three million, four hundred thirty thousand, four hundred".