41829720 has 64 divisors (see below), whose sum is σ = 127876320. Its totient is φ = 10942464.

The previous prime is 41829719. The next prime is 41829727. The reversal of 41829720 is 2792814.

41829720 = T₂₁₅ + T₂₁₆ + ... + T₆₃₈.

It is a happy number.

41829720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41829727) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3072 + ... + 9648.

Almost surely, 2^41829720 is an apocalyptic number.

41829720 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 41829720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63938160).

41829720 is an abundant number, since it is smaller than the sum of its proper divisors (86046600).

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

41829720 is a wasteful number, since it uses less digits than its factorization.

41829720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6644 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 41829720 is about 6467.5899684504. The cubic root of 41829720 is about 347.1322680352.

The spelling of 41829720 in words is "forty-one million, eight hundred twenty-nine thousand, seven hundred twenty".