4190266080 has 1920 divisors, whose sum is σ = 22129873920. Its totient is φ = 716636160.

The previous prime is 4190266013. The next prime is 4190266117. The reversal of 4190266080 is 806620914.

4190266080 is a `hidden beast` number, since 41 + 9 + 0 + 2 + 6 + 608 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 220540311 + ... + 220540329.

It is an arithmetic number, because the mean of its divisors is an integer number (11525976).

Almost surely, 2^4190266080 is an apocalyptic number.

4190266080 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 4190266080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064936960).

4190266080 is an abundant number, since it is smaller than the sum of its proper divisors (17939607840).

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

4190266080 is a wasteful number, since it uses less digits than its factorization.

4190266080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4190266080 is about 64732.2645981121. The cubic root of 4190266080 is about 1612.1812544661.

Adding to 4190266080 its reverse (806620914), we get a palindrome (4996886994).

The spelling of 4190266080 in words is "four billion, one hundred ninety million, two hundred sixty-six thousand, eighty".