4080936960 has 144 divisors (see below), whose sum is σ = 14144113620. Its totient is φ = 1088225280.

The previous prime is 4080936929. The next prime is 4080936971. The reversal of 4080936960 is 696390804.

It can be written as a sum of positive squares in 2 ways, for example, as 3881788416 + 199148544 = 62304^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70020 + ... + 114300.

Almost surely, 2^4080936960 is an apocalyptic number.

4080936960 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 4080936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072056810).

4080936960 is an abundant number, since it is smaller than the sum of its proper divisors (10063176660).

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

4080936960 is a wasteful number, since it uses less digits than its factorization.

4080936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44314 (or 44291 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4080936960 is about 63882.2116085534. The cubic root of 4080936960 is about 1598.0362574748.

The spelling of 4080936960 in words is "four billion, eighty million, nine hundred thirty-six thousand, nine hundred sixty".