41900832 has 72 divisors (see below), whose sum is σ = 120848364. Its totient is φ = 13768704.

The previous prime is 41900827. The next prime is 41900851. The reversal of 41900832 is 23800914.

It can be written as a sum of positive squares in 2 ways, for example, as 40908816 + 992016 = 6396^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 41900796 and 41900805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20028 + ... + 22020.

Almost surely, 2^41900832 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 41900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60424182).

41900832 is an abundant number, since it is smaller than the sum of its proper divisors (78947532).

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

41900832 is a wasteful number, since it uses less digits than its factorization.

41900832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 41900832 is about 6473.0851995011. The cubic root of 41900832 is about 347.3288690359.

The spelling of 41900832 in words is "forty-one million, nine hundred thousand, eight hundred thirty-two".