41193152 has 112 divisors (see below), whose sum is σ = 109923072. Its totient is φ = 14791680.

The previous prime is 41193143. The next prime is 41193211. The reversal of 41193152 is 25139114.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

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 15 ways as a sum of consecutive naturals, for example, 63743 + ... + 64385.

It is an arithmetic number, because the mean of its divisors is an integer number (981456).

Almost surely, 2^41193152 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 41193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54961536).

41193152 is an abundant number, since it is smaller than the sum of its proper divisors (68729920).

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

41193152 is a wasteful number, since it uses less digits than its factorization.

41193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 676 counting only the distinct ones).

The product of its digits is 1080, while the sum is 26.

The square root of 41193152 is about 6418.1891527128. The cubic root of 41193152 is about 345.3623637867.

The spelling of 41193152 in words is "forty-one million, one hundred ninety-three thousand, one hundred fifty-two".