41981940 has 288 divisors, whose sum is σ = 171714816. Its totient is φ = 8017920.

The previous prime is 41981917. The next prime is 41981971. The reversal of 41981940 is 4918914.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 41981895 and 41981904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180064 + ... + 180296.

It is an arithmetic number, because the mean of its divisors is an integer number (596232).

Almost surely, 2^41981940 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 41981940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85857408).

41981940 is an abundant number, since it is smaller than the sum of its proper divisors (129732876).

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

41981940 is a wasteful number, since it uses less digits than its factorization.

41981940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 41981940 is about 6479.3471893394. The cubic root of 41981940 is about 347.5528342971.

The spelling of 41981940 in words is "forty-one million, nine hundred eighty-one thousand, nine hundred forty".