4109742 has 72 divisors (see below), whose sum is σ = 11076624. Its totient is φ = 1078272.

The previous prime is 4109737. The next prime is 4109761. The reversal of 4109742 is 2479014.

It is a happy number.

It is a plaindrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21198 + ... + 21390.

It is an arithmetic number, because the mean of its divisors is an integer number (153842).

Almost surely, 2^4109742 is an apocalyptic number.

4109742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4109742 is the 1014-th decagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4109742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538312).

4109742 is an abundant number, since it is smaller than the sum of its proper divisors (6966882).

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

4109742 is a wasteful number, since it uses less digits than its factorization.

4109742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 4109742 is about 2027.2498612653. The cubic root of 4109742 is about 160.1787325590.

It can be divided in two parts, 4109 and 742, that added together give a triangular number (4851 = T₉₈).

The spelling of 4109742 in words is "four million, one hundred nine thousand, seven hundred forty-two".