4040404880 has 80 divisors (see below), whose sum is σ = 9487964160. Its totient is φ = 1600072704.

The previous prime is 4040404861. The next prime is 4040404883. The reversal of 4040404880 is 884040404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4040404883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993916 + ... + 4994724.

It is an arithmetic number, because the mean of its divisors is an integer number (118599552).

Almost surely, 2^4040404880 is an apocalyptic number.

4040404880 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 4040404880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743982080).

4040404880 is an abundant number, since it is smaller than the sum of its proper divisors (5447559280).

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

4040404880 is a wasteful number, since it uses less digits than its factorization.

4040404880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1362 counting only the distinct ones).

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

The square root of 4040404880 is about 63564.1792206900. The cubic root of 4040404880 is about 1592.7280513820.

The spelling of 4040404880 in words is "four billion, forty million, four hundred four thousand, eight hundred eighty".