4084800440 has 32 divisors (see below), whose sum is σ = 10503773280. Its totient is φ = 1400502912.

The previous prime is 4084800427. The next prime is 4084800449. The reversal of 4084800440 is 440084804.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4084800397 and 4084800406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084800449) 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 7 ways as a sum of consecutive naturals, for example, 7294007 + ... + 7294566.

It is an arithmetic number, because the mean of its divisors is an integer number (328242915).

Almost surely, 2^4084800440 is an apocalyptic number.

4084800440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084800440 is an abundant number, since it is smaller than the sum of its proper divisors (6418972840).

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

4084800440 is a wasteful number, since it uses less digits than its factorization.

4084800440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588591 (or 14588587 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 4084800440 is about 63912.4435458386. The cubic root of 4084800440 is about 1598.5403928301.

The spelling of 4084800440 in words is "four billion, eighty-four million, eight hundred thousand, four hundred forty".