4090753681 has 9 divisors (see below), whose sum is σ = 4759152699. Its totient is φ = 3505976544.

The previous prime is 4090753661. The next prime is 4090753691. The reversal of 4090753681 is 1863570904.

The square root of 4090753681 is 63959.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 43758225 + 4046995456 = 6615^2 + 63616^2 .

It is not a de Polignac number, because 4090753681 - 2¹³ = 4090745489 is a prime.

It is a super-3 number, since 3×4090753681³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4090753631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443145 + ... + 452281.

Almost surely, 2^4090753681 is an apocalyptic number.

4090753681 is the 63959-th square number.

4090753681 is the 31980-th centered octagonal number.

It is an amenable number.

4090753681 is a deficient number, since it is larger than the sum of its proper divisors (668399018).

4090753681 is an frugal number, since it uses more digits than its factorization.

4090753681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288 (or 9144 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 4090753681 is about 1599.3165936858.

The spelling of 4090753681 in words is "four billion, ninety million, seven hundred fifty-three thousand, six hundred eighty-one".