41768430 has 64 divisors (see below), whose sum is σ = 111725568. Its totient is φ = 9906560.

The previous prime is 41768393. The next prime is 41768431. The reversal of 41768430 is 3486714.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 41768391 and 41768400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41768431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14164 + ... + 16856.

It is an arithmetic number, because the mean of its divisors is an integer number (1745712).

Almost surely, 2^41768430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41768430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55862784).

41768430 is an abundant number, since it is smaller than the sum of its proper divisors (69957138).

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

41768430 is a wasteful number, since it uses less digits than its factorization.

41768430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761.

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 41768430 is about 6462.8499905228. The cubic root of 41768430 is about 346.9626427351.

It can be divided in two parts, 417684 and 30, that added together give a palindrome (417714).

The spelling of 41768430 in words is "forty-one million, seven hundred sixty-eight thousand, four hundred thirty".