4090888480 has 288 divisors, whose sum is σ = 12255364800. Its totient is φ = 1281595392.

The previous prime is 4090888469. The next prime is 4090888511. The reversal of 4090888480 is 848880904.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4319367 + ... + 4320313.

It is an arithmetic number, because the mean of its divisors is an integer number (42553350).

Almost surely, 2^4090888480 is an apocalyptic number.

4090888480 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 4090888480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6127682400).

4090888480 is an abundant number, since it is smaller than the sum of its proper divisors (8164476320).

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

4090888480 is a wasteful number, since it uses less digits than its factorization.

4090888480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 49.

The square root of 4090888480 is about 63960.0537835921. The cubic root of 4090888480 is about 1599.3341604495.

The spelling of 4090888480 in words is "four billion, ninety million, eight hundred eighty-eight thousand, four hundred eighty".