41563792 has 40 divisors (see below), whose sum is σ = 86601600. Its totient is φ = 19262592.

The previous prime is 41563787. The next prime is 41563853. The reversal of 41563792 is 29736514.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12834 + ... + 15742.

It is an arithmetic number, because the mean of its divisors is an integer number (2165040).

Almost surely, 2^41563792 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 41563792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43300800).

41563792 is an abundant number, since it is smaller than the sum of its proper divisors (45037808).

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

41563792 is a wasteful number, since it uses less digits than its factorization.

41563792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983 (or 2977 counting only the distinct ones).

The product of its digits is 45360, while the sum is 37.

The square root of 41563792 is about 6446.9986815572. The cubic root of 41563792 is about 346.3950847975.

It can be divided in two parts, 4 and 1563792, that added together give a triangular number (1563796 = T₁₇₆₈).

The spelling of 41563792 in words is "forty-one million, five hundred sixty-three thousand, seven hundred ninety-two".