41281968 has 120 divisors (see below), whose sum is σ = 132158208. Its totient is φ = 10872576.

The previous prime is 41281943. The next prime is 41281969. The reversal of 41281968 is 86918214.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (41281969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56421 + ... + 57147.

Almost surely, 2^41281968 is an apocalyptic number.

41281968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41281968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66079104).

41281968 is an abundant number, since it is smaller than the sum of its proper divisors (90876240).

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

41281968 is a wasteful number, since it uses less digits than its factorization.

41281968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 752 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 41281968 is about 6425.1045127686. The cubic root of 41281968 is about 345.6103959921.

The spelling of 41281968 in words is "forty-one million, two hundred eighty-one thousand, nine hundred sixty-eight".