4401944820 has 288 divisors, whose sum is σ = 16966010880. Its totient is φ = 898698240.

The previous prime is 4401944819. The next prime is 4401944863. The reversal of 4401944820 is 284491044.

4401944820 is a `hidden beast` number, since 440 + 194 + 4 + 8 + 20 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503446 + ... + 512114.

It is an arithmetic number, because the mean of its divisors is an integer number (58909760).

Almost surely, 2^4401944820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4401944820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483005440).

4401944820 is an abundant number, since it is smaller than the sum of its proper divisors (12564066060).

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

4401944820 is a wasteful number, since it uses less digits than its factorization.

4401944820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8735 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4401944820 is about 66347.1538198889. The cubic root of 4401944820 is about 1638.8839347896.

The spelling of 4401944820 in words is "four billion, four hundred one million, nine hundred forty-four thousand, eight hundred twenty".