14428994400 has 144 divisors (see below), whose sum is σ = 52184941200. Its totient is φ = 3847726080.

The previous prime is 14428994389. The next prime is 14428994401. The reversal of 14428994400 is 449982441.

14428994400 is a `hidden beast` number, since 1 + 442 + 89 + 94 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14428994401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312405 + ... + 355604.

It is an arithmetic number, because the mean of its divisors is an integer number (362395425).

Almost surely, 2^14428994400 is an apocalyptic number.

14428994400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14428994400 is an abundant number, since it is smaller than the sum of its proper divisors (37755946800).

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

14428994400 is a wasteful number, since it uses less digits than its factorization.

14428994400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668038 (or 668019 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14428994400 in words is "fourteen billion, four hundred twenty-eight million, nine hundred ninety-four thousand, four hundred".