4090573323720 has 288 divisors, whose sum is σ = 14420074691880. Its totient is φ = 1005203496960.

The previous prime is 4090573323709. The next prime is 4090573323737. The reversal of 4090573323720 is 273233750904.

4090573323720 is a `hidden beast` number, since 4 + 0 + 9 + 0 + 573 + 3 + 2 + 3 + 72 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 313839725796 + 3776733597924 = 560214^2 + 1943382^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36021430 + ... + 36134810.

Almost surely, 2^{4090573323720} is an apocalyptic number.

4090573323720 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 4090573323720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7210037345940).

4090573323720 is an abundant number, since it is smaller than the sum of its proper divisors (10329501368160).

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

4090573323720 is a wasteful number, since it uses less digits than its factorization.

4090573323720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114017 (or 113997 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 4090573323720 in words is "four trillion, ninety billion, five hundred seventy-three million, three hundred twenty-three thousand, seven hundred twenty".