41051920 has 80 divisors (see below), whose sum is σ = 117492480. Its totient is φ = 12989952.

The previous prime is 41051911. The next prime is 41051921. The reversal of 41051920 is 2915014.

41051920 = T₉₀₄ + T₉₀₅ + ... + T₉₉₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 41051891 and 41051900.

It is not an unprimeable number, because it can be changed into a prime (41051921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4461 + ... + 10099.

It is an arithmetic number, because the mean of its divisors is an integer number (1468656).

Almost surely, 2^41051920 is an apocalyptic number.

41051920 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 41051920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58746240).

41051920 is an abundant number, since it is smaller than the sum of its proper divisors (76440560).

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

41051920 is a wasteful number, since it uses less digits than its factorization.

41051920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5672 (or 5666 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 41051920 is about 6407.1772255807. The cubic root of 41051920 is about 344.9672166566.

Adding to 41051920 its reverse (2915014), we get a palindrome (43966934).

The spelling of 41051920 in words is "forty-one million, fifty-one thousand, nine hundred twenty".