4445504100 has 288 divisors, whose sum is σ = 15155280000. Its totient is φ = 1114767360.

The previous prime is 4445504057. The next prime is 4445504113. The reversal of 4445504100 is 14055444.

4445504100 is a `hidden beast` number, since 4 + 4 + 4 + 550 + 4 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9900676 + ... + 9901124.

It is an arithmetic number, because the mean of its divisors is an integer number (52622500).

Almost surely, 2^4445504100 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 4445504100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577640000).

4445504100 is an abundant number, since it is smaller than the sum of its proper divisors (10709775900).

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

4445504100 is a wasteful number, since it uses less digits than its factorization.

4445504100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 4445504100 is about 66674.6136096791. The cubic root of 4445504100 is about 1644.2720392700.

Adding to 4445504100 its reverse (14055444), we get a palindrome (4459559544).

The spelling of 4445504100 in words is "four billion, four hundred forty-five million, five hundred four thousand, one hundred".