4090744083280 has 80 divisors (see below), whose sum is σ = 9659569515840. Its totient is φ = 1610767420416.

The previous prime is 4090744083221. The next prime is 4090744083289. The reversal of 4090744083280 is 823804470904.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4090744083289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7558692 + ... + 8081788.

It is an arithmetic number, because the mean of its divisors is an integer number (120744618948).

Almost surely, 2^{4090744083280} is an apocalyptic number.

4090744083280 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 4090744083280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829784757920).

4090744083280 is an abundant number, since it is smaller than the sum of its proper divisors (5568825432560).

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

4090744083280 is a wasteful number, since it uses less digits than its factorization.

4090744083280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524636 (or 524630 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 4090744083280 in words is "four trillion, ninety billion, seven hundred forty-four million, eighty-three thousand, two hundred eighty".