4405633120 has 72 divisors (see below), whose sum is σ = 12107645424. Its totient is φ = 1510500096.

The previous prime is 4405633117. The next prime is 4405633159. The reversal of 4405633120 is 213365044.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273132 + ... + 288811.

It is an arithmetic number, because the mean of its divisors is an integer number (168161742).

Almost surely, 2^4405633120 is an apocalyptic number.

4405633120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4405633120 is an abundant number, since it is smaller than the sum of its proper divisors (7702012304).

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

4405633120 is a wasteful number, since it uses less digits than its factorization.

4405633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561972 (or 561957 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4405633120 is about 66374.9434651360. The cubic root of 4405633120 is about 1639.3415361762.

Adding to 4405633120 its reverse (213365044), we get a palindrome (4618998164).

The spelling of 4405633120 in words is "four billion, four hundred five million, six hundred thirty-three thousand, one hundred twenty".