4135334440 has 32 divisors (see below), whose sum is σ = 9386853480. Its totient is φ = 1639493632.

The previous prime is 4135334393. The next prime is 4135334443. The reversal of 4135334440 is 444335314.

4135334440 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 3418273156 + 717061284 = 58466^2 + 26778^2 .

It is a super-2 number, since 2×4135334440² = 34201981861300227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4135334443) 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, 452929 + ... + 461968.

Almost surely, 2^4135334440 is an apocalyptic number.

4135334440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4135334440 is an abundant number, since it is smaller than the sum of its proper divisors (5251519040).

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

4135334440 is a wasteful number, since it uses less digits than its factorization.

4135334440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915021 (or 915017 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

The square root of 4135334440 is about 64306.5660722138. The cubic root of 4135334440 is about 1605.1053640842.

Adding to 4135334440 its reverse (444335314), we get a palindrome (4579669754).

The spelling of 4135334440 in words is "four billion, one hundred thirty-five million, three hundred thirty-four thousand, four hundred forty".