4139840 has 56 divisors (see below), whose sum is σ = 10451592. Its totient is φ = 1556480.

The previous prime is 4139831. The next prime is 4139873. The reversal of 4139840 is 489314.

4139840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 43264 + 4096576 = 208^2 + 2024^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5060 + ... + 5820.

Almost surely, 2^4139840 is an apocalyptic number.

4139840 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 4139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225796).

4139840 is an abundant number, since it is smaller than the sum of its proper divisors (6311752).

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

4139840 is a wasteful number, since it uses less digits than its factorization.

4139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 4139840 is about 2034.6596767027. The cubic root of 4139840 is about 160.5688087906.

The spelling of 4139840 in words is "four million, one hundred thirty-nine thousand, eight hundred forty".