4133813742 has 24 divisors (see below), whose sum is σ = 9043557744. Its totient is φ = 1364559264.

The previous prime is 4133813741. The next prime is 4133813743. The reversal of 4133813742 is 2473183314.

It is an interprime number because it is at equal distance from previous prime (4133813741) and next prime (4133813743).

It is a super-3 number, since 3×4133813742³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4133813697 and 4133813706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133813741) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1112983 + ... + 1116690.

It is an arithmetic number, because the mean of its divisors is an integer number (376814906).

Almost surely, 2^4133813742 is an apocalyptic number.

4133813742 is an abundant number, since it is smaller than the sum of its proper divisors (4909744002).

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

4133813742 is a wasteful number, since it uses less digits than its factorization.

4133813742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229784 (or 2229781 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4133813742 is about 64294.7411690878. The cubic root of 4133813742 is about 1604.9085900134.

The spelling of 4133813742 in words is "four billion, one hundred thirty-three million, eight hundred thirteen thousand, seven hundred forty-two".