41426968 has 64 divisors (see below), whose sum is σ = 88128000. Its totient is φ = 18096000.

The previous prime is 41426953. The next prime is 41426969. The reversal of 41426968 is 86962414.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

Its product of digits (82944) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 41426968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41426969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410118 + ... + 410218.

It is an arithmetic number, because the mean of its divisors is an integer number (1377000).

Almost surely, 2^41426968 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 41426968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44064000).

41426968 is an abundant number, since it is smaller than the sum of its proper divisors (46701032).

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

41426968 is a wasteful number, since it uses less digits than its factorization.

41426968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 252 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 41426968 is about 6436.3784848314. The cubic root of 41426968 is about 346.0145671972.

The spelling of 41426968 in words is "forty-one million, four hundred twenty-six thousand, nine hundred sixty-eight".