41922720 has 144 divisors (see below), whose sum is σ = 163537920. Its totient is φ = 9580032.

The previous prime is 41922691. The next prime is 41922737. The reversal of 41922720 is 2722914.

41922720 is a `hidden beast` number, since 419 + 227 + 20 = 666.

41922720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8001 + ... + 12159.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^41922720 is an apocalyptic number.

41922720 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 41922720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

41922720 is an abundant number, since it is smaller than the sum of its proper divisors (121615200).

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

41922720 is a wasteful number, since it uses less digits than its factorization.

41922720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 41922720 is about 6474.7756717897. The cubic root of 41922720 is about 347.3893372935.

It can be divided in two parts, 41 and 922720, that added together give a triangular number (922761 = T₁₃₅₈).

The spelling of 41922720 in words is "forty-one million, nine hundred twenty-two thousand, seven hundred twenty".