4022315600 has 120 divisors (see below), whose sum is σ = 10400872248. Its totient is φ = 1489305600.

The previous prime is 4022315593. The next prime is 4022315659. The reversal of 4022315600 is 65132204.

It can be written as a sum of positive squares in 12 ways, for example, as 2472476176 + 1549839424 = 49724^2 + 39368^2 .

It is a congruent number.

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, 409952 + ... + 419648.

Almost surely, 2^4022315600 is an apocalyptic number.

4022315600 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 4022315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200436124).

4022315600 is an abundant number, since it is smaller than the sum of its proper divisors (6378556648).

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

4022315600 is a wasteful number, since it uses less digits than its factorization.

4022315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9793 (or 9782 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4022315600 is about 63421.7281379182. The cubic root of 4022315600 is about 1590.3475632215.

Adding to 4022315600 its reverse (65132204), we get a palindrome (4087447804).

The spelling of 4022315600 in words is "four billion, twenty-two million, three hundred fifteen thousand, six hundred".