44442216000 has 2688 divisors, whose sum is σ = 227663654400. Its totient is φ = 8360755200.

The previous prime is 44442215971. The next prime is 44442216023. The reversal of 44442216000 is 61224444.

It is a happy number.

44442216000 is a `hidden beast` number, since 4 + 4 + 442 + 216 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×44442216000³ (a number of 33 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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2339063991 + ... + 2339064009.

It is an arithmetic number, because the mean of its divisors is an integer number (84696300).

Almost surely, 2^44442216000 is an apocalyptic number.

44442216000 is a gapful number since it is divisible by the number (40) 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 44442216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113831827200).

44442216000 is an abundant number, since it is smaller than the sum of its proper divisors (183221438400).

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

44442216000 is a wasteful number, since it uses less digits than its factorization.

44442216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 44442216000 in words is "forty-four billion, four hundred forty-two million, two hundred sixteen thousand".