4097800224 has 864 divisors, whose sum is σ = 16133644800. Its totient is φ = 975421440.

The previous prime is 4097800181. The next prime is 4097800271. The reversal of 4097800224 is 4220087904.

4097800224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132187089 + ... + 132187119.

It is an arithmetic number, because the mean of its divisors is an integer number (18673200).

Almost surely, 2^4097800224 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 4097800224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066822400).

4097800224 is an abundant number, since it is smaller than the sum of its proper divisors (12035844576).

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

4097800224 is a wasteful number, since it uses less digits than its factorization.

4097800224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4097800224 is about 64014.0627050026. The cubic root of 4097800224 is about 1600.2343698342.

The spelling of 4097800224 in words is "four billion, ninety-seven million, eight hundred thousand, two hundred twenty-four".