41137668 has 144 divisors (see below), whose sum is σ = 125116992. Its totient is φ = 11232000.

The previous prime is 41137661. The next prime is 41137703. The reversal of 41137668 is 86673114.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41137661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 313963 + ... + 314093.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 2^41137668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41137668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62558496).

41137668 is an abundant number, since it is smaller than the sum of its proper divisors (83979324).

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

41137668 is a wasteful number, since it uses less digits than its factorization.

41137668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 221 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 41137668 is about 6413.8652932534. The cubic root of 41137668 is about 345.2072352909.

It can be divided in two parts, 4113 and 7668, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 41137668 in words is "forty-one million, one hundred thirty-seven thousand, six hundred sixty-eight".