4123440 has 160 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 1039104.

The previous prime is 4123439. The next prime is 4123447. The reversal of 4123440 is 443214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4123447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49639 + ... + 49721.

It is an arithmetic number, because the mean of its divisors is an integer number (93744).

Almost surely, 2^4123440 is an apocalyptic number.

4123440 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 4123440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4123440 is an abundant number, since it is smaller than the sum of its proper divisors (10875600).

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

4123440 is a wasteful number, since it uses less digits than its factorization.

4123440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4123440 is about 2030.6255193905. The cubic root of 4123440 is about 160.3564967646.

Adding to 4123440 its reverse (443214), we get a palindrome (4566654).

The spelling of 4123440 in words is "four million, one hundred twenty-three thousand, four hundred forty".