14082854400 has 900 divisors, whose sum is σ = 56546054928. Its totient is φ = 3459317760.

The previous prime is 14082854399. The next prime is 14082854411. The reversal of 14082854400 is 445828041.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 299635177 + ... + 299635223.

Almost surely, 2^14082854400 is an apocalyptic number.

14082854400 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 14082854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28273027464).

14082854400 is an abundant number, since it is smaller than the sum of its proper divisors (42463200528).

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

14082854400 is an equidigital number, since it uses as much as digits as its factorization.

14082854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 14082854400 in words is "fourteen billion, eighty-two million, eight hundred fifty-four thousand, four hundred".