4090265088 has 240 divisors, whose sum is σ = 13491029376. Its totient is φ = 1078272000.

The previous prime is 4090265063. The next prime is 4090265107. The reversal of 4090265088 is 8805620904.

4090265088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4090265088² = 33460536980223295488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1815963 + ... + 1818213.

Almost surely, 2^4090265088 is an apocalyptic number.

4090265088 is a gapful number since it is divisible by the number (48) 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 4090265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6745514688).

4090265088 is an abundant number, since it is smaller than the sum of its proper divisors (9400764288).

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

4090265088 is a wasteful number, since it uses less digits than its factorization.

4090265088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 4090265088 is about 63955.1803062113. The cubic root of 4090265088 is about 1599.2529178887.

The spelling of 4090265088 in words is "four billion, ninety million, two hundred sixty-five thousand, eighty-eight".