4022114304 has 192 divisors, whose sum is σ = 11868685920. Its totient is φ = 1203240960.

The previous prime is 4022114249. The next prime is 4022114321. The reversal of 4022114304 is 4034112204.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4022114304³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2954584 + ... + 2955944.

Almost surely, 2^4022114304 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 4022114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5934342960).

4022114304 is an abundant number, since it is smaller than the sum of its proper divisors (7846571616).

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

4022114304 is a wasteful number, since it uses less digits than its factorization.

4022114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4022114304 is about 63420.1411540529. The cubic root of 4022114304 is about 1590.3210332344.

Adding to 4022114304 its reverse (4034112204), we get a palindrome (8056226508).

The spelling of 4022114304 in words is "four billion, twenty-two million, one hundred fourteen thousand, three hundred four".