4450224640100 has 72 divisors (see below), whose sum is σ = 9753634930536. Its totient is φ = 1762278400000.

The previous prime is 4450224640013. The next prime is 4450224640133. The reversal of 4450224640100 is 10464220544.

It can be written as a sum of positive squares in 12 ways, for example, as 2288642506276 + 2161582133824 = 1512826^2 + 1470232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132505310 + ... + 132538890.

It is an arithmetic number, because the mean of its divisors is an integer number (135467151813).

Almost surely, 2^{4450224640100} 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 4450224640100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876817465268).

4450224640100 is an abundant number, since it is smaller than the sum of its proper divisors (5303410290436).

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

4450224640100 is a wasteful number, since it uses less digits than its factorization.

4450224640100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46817 (or 46810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 4450224640100 its reverse (10464220544), we get a palindrome (4460688860644).

The spelling of 4450224640100 in words is "four trillion, four hundred fifty billion, two hundred twenty-four million, six hundred forty thousand, one hundred".