4416040 has 32 divisors (see below), whose sum is σ = 10034280. Its totient is φ = 1748992.

The previous prime is 4416029. The next prime is 4416047. The reversal of 4416040 is 406144.

It can be written as a sum of positive squares in 4 ways, for example, as 3305124 + 1110916 = 1818^2 + 1054^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4415999 and 4416017.

It is not an unprimeable number, because it can be changed into a prime (4416047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4032 + ... + 5008.

Almost surely, 2^4416040 is an apocalyptic number.

4416040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4416040 is an abundant number, since it is smaller than the sum of its proper divisors (5618240).

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

4416040 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (4416039) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1101).

4416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4416040 is about 2101.4376031660. The cubic root of 4416040 is about 164.0631325448.

The spelling of 4416040 in words is "four million, four hundred sixteen thousand, forty".