4400382672 has 400 divisors, whose sum is σ = 15664176000. Its totient is φ = 1188794880.

The previous prime is 4400382671. The next prime is 4400382689. The reversal of 4400382672 is 2762830044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400382671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8445772 + ... + 8446292.

It is an arithmetic number, because the mean of its divisors is an integer number (39160440).

Almost surely, 2^4400382672 is an apocalyptic number.

4400382672 is a gapful number since it is divisible by the number (42) 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 4400382672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832088000).

4400382672 is an abundant number, since it is smaller than the sum of its proper divisors (11263793328).

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

4400382672 is a wasteful number, since it uses less digits than its factorization.

4400382672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4400382672 is about 66335.3802431252. The cubic root of 4400382672 is about 1638.6900445680.

The spelling of 4400382672 in words is "four billion, four hundred million, three hundred eighty-two thousand, six hundred seventy-two".