41188896 has 72 divisors (see below), whose sum is σ = 133870464. Its totient is φ = 11767680.

The previous prime is 41188891. The next prime is 41188907. The reversal of 41188896 is 69888114.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41188891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8200 + ... + 12231.

It is an arithmetic number, because the mean of its divisors is an integer number (1859312).

Almost surely, 2^41188896 is an apocalyptic number.

It is an amenable number.

41188896 is an abundant number, since it is smaller than the sum of its proper divisors (92681568).

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

41188896 is a wasteful number, since it uses less digits than its factorization.

41188896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 20443 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 41188896 is about 6417.8575864536. The cubic root of 41188896 is about 345.3504693110.

The spelling of 41188896 in words is "forty-one million, one hundred eighty-eight thousand, eight hundred ninety-six".