4099448100 has 144 divisors (see below), whose sum is σ = 13215154176. Its totient is φ = 972624000.

The previous prime is 4099448083. The next prime is 4099448117. The reversal of 4099448100 is 18449904.

It is an interprime number because it is at equal distance from previous prime (4099448083) and next prime (4099448117).

It is a super-2 number, since 2×4099448100² = 33610949449187220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141885 + ... + 168315.

It is an arithmetic number, because the mean of its divisors is an integer number (91771904).

Almost surely, 2^4099448100 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 4099448100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607577088).

4099448100 is an abundant number, since it is smaller than the sum of its proper divisors (9115706076).

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

4099448100 is a wasteful number, since it uses less digits than its factorization.

4099448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26506 (or 26499 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4099448100 is about 64026.9326143304. The cubic root of 4099448100 is about 1600.4488454285.

The spelling of 4099448100 in words is "four billion, ninety-nine million, four hundred forty-eight thousand, one hundred".