14082704000 has 256 divisors, whose sum is σ = 36462666240. Its totient is φ = 5405184000.

The previous prime is 14082703931. The next prime is 14082704021. The reversal of 14082704000 is 40728041.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45871847 + ... + 45872153.

It is an arithmetic number, because the mean of its divisors is an integer number (142432290).

Almost surely, 2^14082704000 is an apocalyptic number.

14082704000 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 14082704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18231333120).

14082704000 is an abundant number, since it is smaller than the sum of its proper divisors (22379962240).

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

14082704000 is an equidigital number, since it uses as much as digits as its factorization.

14082704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The spelling of 14082704000 in words is "fourteen billion, eighty-two million, seven hundred four thousand".