4402944000 has 1152 divisors, whose sum is σ = 20391134400. Its totient is φ = 928972800.

The previous prime is 4402943977. The next prime is 4402944001. The reversal of 4402944000 is 4492044.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402944001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338687994 + ... + 338688006.

Almost surely, 2^4402944000 is an apocalyptic number.

4402944000 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 4402944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10195567200).

4402944000 is an abundant number, since it is smaller than the sum of its proper divisors (15988190400).

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

4402944000 is a wasteful number, since it uses less digits than its factorization.

4402944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4402944000 is about 66354.6833313218. The cubic root of 4402944000 is about 1639.0079266639.

The spelling of 4402944000 in words is "four billion, four hundred two million, nine hundred forty-four thousand".