10044216000 has 1344 divisors, whose sum is σ = 46797528960. Its totient is φ = 2090188800.

The previous prime is 10044215999. The next prime is 10044216067. The reversal of 10044216000 is 61244001.

10044216000 is a `hidden beast` number, since 1 + 0 + 0 + 44 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137591964 + ... + 137592036.

It is an arithmetic number, because the mean of its divisors is an integer number (34819590).

Almost surely, 2^10044216000 is an apocalyptic number.

10044216000 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 10044216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398764480).

10044216000 is an abundant number, since it is smaller than the sum of its proper divisors (36753312960).

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

10044216000 is a wasteful number, since it uses less digits than its factorization.

10044216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 10044216000 in words is "ten billion, forty-four million, two hundred sixteen thousand".