14447198400 has 336 divisors, whose sum is σ = 51268432896. Its totient is φ = 3547873280.

The previous prime is 14447198399. The next prime is 14447198401. The reversal of 14447198400 is 489174441.

It is an interprime number because it is at equal distance from previous prime (14447198399) and next prime (14447198401).

It is not an unprimeable number, because it can be changed into a prime (14447198401) 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, 3833317 + ... + 3837083.

Almost surely, 2^14447198400 is an apocalyptic number.

14447198400 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 14447198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25634216448).

14447198400 is an abundant number, since it is smaller than the sum of its proper divisors (36821234496).

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

14447198400 is a wasteful number, since it uses less digits than its factorization.

14447198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 3841 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 14447198400 in words is "fourteen billion, four hundred forty-seven million, one hundred ninety-eight thousand, four hundred".