4222399104 has 768 divisors, whose sum is σ = 16467010560. Its totient is φ = 1045094400.

The previous prime is 4222399091. The next prime is 4222399141. The reversal of 4222399104 is 4019932224.

4222399104 = 9³ + 10³ + ... + 360³.

4222399104 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 95 ways as a sum of consecutive naturals, for example, 98195307 + ... + 98195349.

It is an arithmetic number, because the mean of its divisors is an integer number (21441420).

Almost surely, 2^4222399104 is an apocalyptic number.

4222399104 is a gapful number since it is divisible by the number (44) 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 4222399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233505280).

4222399104 is an abundant number, since it is smaller than the sum of its proper divisors (12244611456).

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

4222399104 is a wasteful number, since it uses less digits than its factorization.

4222399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4222399104 is about 64979.9900277001. The cubic root of 4222399104 is about 1616.2917651149.

The spelling of 4222399104 in words is "four billion, two hundred twenty-two million, three hundred ninety-nine thousand, one hundred four".