4135840 has 24 divisors (see below), whose sum is σ = 9771300. Its totient is φ = 1654272.

The previous prime is 4135829. The next prime is 4135847. The reversal of 4135840 is 485314.

It can be written as a sum of positive squares in 2 ways, for example, as 3489424 + 646416 = 1868^2 + 804^2 .

It is not an unprimeable number, because it can be changed into a prime (4135847) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12765 + ... + 13084.

Almost surely, 2^4135840 is an apocalyptic number.

4135840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135840 is an abundant number, since it is smaller than the sum of its proper divisors (5635460).

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

4135840 is a wasteful number, since it uses less digits than its factorization.

4135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25864 (or 25856 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 4135840 is about 2033.6764737785. The cubic root of 4135840 is about 160.5170771450.

The spelling of 4135840 in words is "four million, one hundred thirty-five thousand, eight hundred forty".