4190022720 has 168 divisors, whose sum is σ = 15520681176. Its totient is φ = 1031380992.

The previous prime is 4190022719. The next prime is 4190022773. The reversal of 4190022720 is 272200914.

4190022720 is a `hidden beast` number, since 419 + 0 + 0 + 227 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 707134464 + 3482888256 = 26592^2 + 59016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18517 + ... + 93396.

It is an arithmetic number, because the mean of its divisors is an integer number (92385007).

Almost surely, 2^4190022720 is an apocalyptic number.

4190022720 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 4190022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760340588).

4190022720 is an abundant number, since it is smaller than the sum of its proper divisors (11330658456).

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

4190022720 is a wasteful number, since it uses less digits than its factorization.

4190022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111949 (or 111936 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4190022720 is about 64730.3848281470. The cubic root of 4190022720 is about 1612.1500433991.

It can be divided in two parts, 41900 and 22720, that added together give a triangular number (64620 = T₃₅₉).

The spelling of 4190022720 in words is "four billion, one hundred ninety million, twenty-two thousand, seven hundred twenty".