41442688 has 64 divisors (see below), whose sum is σ = 98507520. Its totient is φ = 16980480.

The previous prime is 41442683. The next prime is 41442707. The reversal of 41442688 is 88624414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19603 + ... + 21613.

It is an arithmetic number, because the mean of its divisors is an integer number (1539180).

Almost surely, 2^41442688 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 41442688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49253760).

41442688 is an abundant number, since it is smaller than the sum of its proper divisors (57064832).

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

41442688 is a wasteful number, since it uses less digits than its factorization.

41442688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2043 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 41442688 is about 6437.5995526283. The cubic root of 41442688 is about 346.0583282333.

The spelling of 41442688 in words is "forty-one million, four hundred forty-two thousand, six hundred eighty-eight".