4090385520 has 640 divisors, whose sum is σ = 16212295680. Its totient is φ = 940584960.

The previous prime is 4090385503. The next prime is 4090385539. The reversal of 4090385520 is 255830904.

4090385520 is a `hidden beast` number, since 40 + 90 + 3 + 8 + 5 + 520 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32207697 + ... + 32207823.

It is an arithmetic number, because the mean of its divisors is an integer number (25331712).

Almost surely, 2^4090385520 is an apocalyptic number.

4090385520 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 4090385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8106147840).

4090385520 is an abundant number, since it is smaller than the sum of its proper divisors (12121910160).

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

4090385520 is a wasteful number, since it uses less digits than its factorization.

4090385520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 4090385520 is about 63956.1218336447. The cubic root of 4090385520 is about 1599.2686136389.

The spelling of 4090385520 in words is "four billion, ninety million, three hundred eighty-five thousand, five hundred twenty".