4400566632 has 192 divisors, whose sum is σ = 15505551360. Its totient is φ = 1093276800.

The previous prime is 4400566631. The next prime is 4400566661. The reversal of 4400566632 is 2366650044.

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

It is not an unprimeable number, because it can be changed into a prime (4400566631) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 110257 + ... + 144767.

It is an arithmetic number, because the mean of its divisors is an integer number (80758080).

Almost surely, 2^4400566632 is an apocalyptic number.

4400566632 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 4400566632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752775680).

4400566632 is an abundant number, since it is smaller than the sum of its proper divisors (11104984728).

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

4400566632 is a wasteful number, since it uses less digits than its factorization.

4400566632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34564 (or 34557 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4400566632 is about 66336.7668190122. The cubic root of 4400566632 is about 1638.7128796441.

The spelling of 4400566632 in words is "four billion, four hundred million, five hundred sixty-six thousand, six hundred thirty-two".