4131222784 has 72 divisors (see below), whose sum is σ = 8898917832. Its totient is φ = 1902796800.

The previous prime is 4131222749. The next prime is 4131222791. The reversal of 4131222784 is 4872221314.

4131222784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147088384 + 3984134400 = 12128^2 + 63120^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2172234 + ... + 2174134.

It is an arithmetic number, because the mean of its divisors is an integer number (123596081).

Almost surely, 2^4131222784 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 4131222784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449458916).

4131222784 is an abundant number, since it is smaller than the sum of its proper divisors (4767695048).

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

4131222784 is a wasteful number, since it uses less digits than its factorization.

4131222784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2569 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 4131222784 is about 64274.5889446210. The cubic root of 4131222784 is about 1604.5732161052.

The spelling of 4131222784 in words is "four billion, one hundred thirty-one million, two hundred twenty-two thousand, seven hundred eighty-four".