41468832 has 72 divisors (see below), whose sum is σ = 119098980. Its totient is φ = 13685760.

The previous prime is 41468827. The next prime is 41468909. The reversal of 41468832 is 23886414.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 5035536 = 6036^2 + 2244^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30732 + ... + 32052.

Almost surely, 2^41468832 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 41468832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59549490).

41468832 is an abundant number, since it is smaller than the sum of its proper divisors (77630148).

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

41468832 is a wasteful number, since it uses less digits than its factorization.

41468832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 41468832 is about 6439.6298030244. The cubic root of 41468832 is about 346.1310829020.

The spelling of 41468832 in words is "forty-one million, four hundred sixty-eight thousand, eight hundred thirty-two".