16440912000 has 768 divisors, whose sum is σ = 63546163200. Its totient is φ = 4064256000.

The previous prime is 16440911989. The next prime is 16440912023. The reversal of 16440912000 is 21904461.

16440912000 is a `hidden beast` number, since 1 + 644 + 0 + 9 + 12 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×16440912000³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129455937 + ... + 129456063.

It is an arithmetic number, because the mean of its divisors is an integer number (82742400).

Almost surely, 2^16440912000 is an apocalyptic number.

16440912000 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 16440912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31773081600).

16440912000 is an abundant number, since it is smaller than the sum of its proper divisors (47105251200).

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

16440912000 is a wasteful number, since it uses less digits than its factorization.

16440912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16440912000 in words is "sixteen billion, four hundred forty million, nine hundred twelve thousand".