16441444800 has 840 divisors, whose sum is σ = 69512931840. Its totient is φ = 3769804800.

The previous prime is 16441444777. The next prime is 16441444823. The reversal of 16441444800 is 844414461.

16441444800 is a `hidden beast` number, since 1 + 644 + 1 + 4 + 4 + 4 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16441444777) and next prime (16441444823).

It is a super-3 number, since 3×16441444800³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 119 ways as a sum of consecutive naturals, for example, 27086097 + ... + 27086703.

Almost surely, 2^16441444800 is an apocalyptic number.

16441444800 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 16441444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34756465920).

16441444800 is an abundant number, since it is smaller than the sum of its proper divisors (53071487040).

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

16441444800 is a wasteful number, since it uses less digits than its factorization.

16441444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 16441444800 in words is "sixteen billion, four hundred forty-one million, four hundred forty-four thousand, eight hundred".