41960100 has 288 divisors, whose sum is σ = 157489920. Its totient is φ = 8386560.

The previous prime is 41960099. The next prime is 41960101. The reversal of 41960100 is 106914.

It is an interprime number because it is at equal distance from previous prime (41960099) and next prime (41960101).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (41960101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 791674 + ... + 791726.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 2^41960100 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 41960100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

41960100 is an abundant number, since it is smaller than the sum of its proper divisors (115529820).

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

41960100 is a wasteful number, since it uses less digits than its factorization.

41960100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 41960100 is about 6477.6616151201. The cubic root of 41960100 is about 347.4925554363.

The spelling of 41960100 in words is "forty-one million, nine hundred sixty thousand, one hundred".