41201824 has 48 divisors (see below), whose sum is σ = 83613600. Its totient is φ = 19977984.

The previous prime is 41201819. The next prime is 41201827. The reversal of 41201824 is 42810214.

It is a junction number, because it is equal to n+sod(n) for n = 41201795 and 41201804.

It is not an unprimeable number, because it can be changed into a prime (41201827) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262354 + ... + 262510.

It is an arithmetic number, because the mean of its divisors is an integer number (1741950).

Almost surely, 2^41201824 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 41201824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41806800).

41201824 is an abundant number, since it is smaller than the sum of its proper divisors (42411776).

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

41201824 is a wasteful number, since it uses less digits than its factorization.

41201824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 41201824 is about 6418.8646971252. The cubic root of 41201824 is about 345.3865973638.

It can be divided in two parts, 41201 and 824, that added together give a square (42025 = 205²).

The spelling of 41201824 in words is "forty-one million, two hundred one thousand, eight hundred twenty-four".