4442101800 has 96 divisors (see below), whose sum is σ = 13828579200. Its totient is φ = 1179566080.

The previous prime is 4442101793. The next prime is 4442101847. The reversal of 4442101800 is 81012444.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 127912 + ... + 158888.

It is an arithmetic number, because the mean of its divisors is an integer number (144047700).

Almost surely, 2^4442101800 is an apocalyptic number.

4442101800 is a gapful number since it is divisible by the number (40) 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 4442101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6914289600).

4442101800 is an abundant number, since it is smaller than the sum of its proper divisors (9386477400).

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

4442101800 is a wasteful number, since it uses less digits than its factorization.

4442101800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31235 (or 31226 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4442101800 is about 66649.0945174801. The cubic root of 4442101800 is about 1643.8524592169.

The spelling of 4442101800 in words is "four billion, four hundred forty-two million, one hundred one thousand, eight hundred".