4090690560 has 528 divisors, whose sum is σ = 15054391296. Its totient is φ = 946176000.

The previous prime is 4090690559. The next prime is 4090690589. The reversal of 4090690560 is 650960904.

4090690560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×4090690560² = 33467498515346227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57615325 + ... + 57615395.

Almost surely, 2^4090690560 is an apocalyptic number.

4090690560 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 4090690560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527195648).

4090690560 is an abundant number, since it is smaller than the sum of its proper divisors (10963700736).

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

4090690560 is a wasteful number, since it uses less digits than its factorization.

4090690560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 4090690560 is about 63958.5065491683. The cubic root of 4090690560 is about 1599.3083677378.

The spelling of 4090690560 in words is "four billion, ninety million, six hundred ninety thousand, five hundred sixty".