4080400965 has 24 divisors (see below), whose sum is σ = 7075668600. Its totient is φ = 2175298944.

The previous prime is 4080400921. The next prime is 4080400967. The reversal of 4080400965 is 5690040804.

It can be written as a sum of positive squares in 4 ways, for example, as 590781636 + 3489619329 = 24306^2 + 59073^2 .

It is not a de Polignac number, because 4080400965 - 2⁶ = 4080400901 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080400967) 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 23 ways as a sum of consecutive naturals, for example, 96919 + ... + 132491.

It is an arithmetic number, because the mean of its divisors is an integer number (294819525).

Almost surely, 2^4080400965 is an apocalyptic number.

4080400965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4080400965 is a deficient number, since it is larger than the sum of its proper divisors (2995267635).

4080400965 is a wasteful number, since it uses less digits than its factorization.

4080400965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38133 (or 38130 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4080400965 is about 63878.0162888611. The cubic root of 4080400965 is about 1597.9662917655.

The spelling of 4080400965 in words is "four billion, eighty million, four hundred thousand, nine hundred sixty-five".