41940000 has 180 divisors, whose sum is σ = 149675526. Its totient is φ = 11136000.

The previous prime is 41939977. The next prime is 41940023. The reversal of 41940000 is 4914.

It is an interprime number because it is at equal distance from previous prime (41939977) and next prime (41940023).

It can be written as a sum of positive squares in 5 ways, for example, as 104976 + 41835024 = 324^2 + 6468^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 179884 + ... + 180116.

Almost surely, 2^41940000 is an apocalyptic number.

41940000 is a gapful number since it is divisible by the number (40) 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 41940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74837763).

41940000 is an abundant number, since it is smaller than the sum of its proper divisors (107735526).

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

41940000 is a wasteful number, since it uses less digits than its factorization.

41940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41940000 is about 6476.1099434769. The cubic root of 41940000 is about 347.4370605262.

Adding to 41940000 its reverse (4914), we get a palindrome (41944914).

The spelling of 41940000 in words is "forty-one million, nine hundred forty thousand".