4040880 has 80 divisors (see below), whose sum is σ = 12722400. Its totient is φ = 1060864.

The previous prime is 4040873. The next prime is 4040887. The reversal of 4040880 is 880404.

4040880 = T₂₇₇ + T₂₇₈ + ... + T₃₅₆.

4040880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4040873) and next prime (4040887).

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

It is a super-2 number, since 2×4040880² = 32657422348800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4040880.

It is not an unprimeable number, because it can be changed into a prime (4040887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27046 + ... + 27194.

It is an arithmetic number, because the mean of its divisors is an integer number (159030).

Almost surely, 2^4040880 is an apocalyptic number.

4040880 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 4040880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361200).

4040880 is an abundant number, since it is smaller than the sum of its proper divisors (8681520).

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

4040880 is a wasteful number, since it uses less digits than its factorization.

4040880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4040880 is about 2010.1940204866. The cubic root of 4040880 is about 159.2790479721.

The spelling of 4040880 in words is "four million, forty thousand, eight hundred eighty".