4091268090 has 256 divisors, whose sum is σ = 12912721920. Its totient is φ = 806077440.

The previous prime is 4091268089. The next prime is 4091268149. The reversal of 4091268090 is 908621904.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2453437 + ... + 2455103.

It is an arithmetic number, because the mean of its divisors is an integer number (50440320).

Almost surely, 2^4091268090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4091268090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6456360960).

4091268090 is an abundant number, since it is smaller than the sum of its proper divisors (8821453830).

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

4091268090 is a wasteful number, since it uses less digits than its factorization.

4091268090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 4091268090 is about 63963.0212701057. The cubic root of 4091268090 is about 1599.3836284697.

Adding to 4091268090 its reverse (908621904), we get a palindrome (4999889994).

The spelling of 4091268090 in words is "four billion, ninety-one million, two hundred sixty-eight thousand, ninety".