4420114800 has 240 divisors, whose sum is σ = 14530320000. Its totient is φ = 1148195840.

The previous prime is 4420114789. The next prime is 4420114817. The reversal of 4420114800 is 84110244.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 10548991 + ... + 10549409.

It is an arithmetic number, because the mean of its divisors is an integer number (60543000).

Almost surely, 2^4420114800 is an apocalyptic number.

4420114800 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 4420114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7265160000).

4420114800 is an abundant number, since it is smaller than the sum of its proper divisors (10110205200).

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

4420114800 is a wasteful number, since it uses less digits than its factorization.

4420114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

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

The square root of 4420114800 is about 66483.9439263346. The cubic root of 4420114800 is about 1641.1357886745.

The spelling of 4420114800 in words is "four billion, four hundred twenty million, one hundred fourteen thousand, eight hundred".