4432722840 has 1024 divisors, whose sum is σ = 19856793600. Its totient is φ = 853991424.

The previous prime is 4432722823. The next prime is 4432722841. The reversal of 4432722840 is 482272344.

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

It is a junction number, because it is equal to n+sod(n) for n = 4432722795 and 4432722804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4432722841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83636254 + ... + 83636306.

It is an arithmetic number, because the mean of its divisors is an integer number (19391400).

Almost surely, 2^4432722840 is an apocalyptic number.

4432722840 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 4432722840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928396800).

4432722840 is an abundant number, since it is smaller than the sum of its proper divisors (15424070760).

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

4432722840 is a wasteful number, since it uses less digits than its factorization.

4432722840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 4432722840 is about 66578.6965928292. The cubic root of 4432722840 is about 1642.6947122225.

The spelling of 4432722840 in words is "four billion, four hundred thirty-two million, seven hundred twenty-two thousand, eight hundred forty".