41003768 has 64 divisors (see below), whose sum is σ = 86819040. Its totient is φ = 18031104.

The previous prime is 41003741. The next prime is 41003771. The reversal of 41003768 is 86730014.

It is a self number, because there is not a number n which added to its sum of digits gives 41003768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236930 + ... + 237102.

Almost surely, 2^41003768 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 41003768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43409520).

41003768 is an abundant number, since it is smaller than the sum of its proper divisors (45815272).

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

41003768 is a wasteful number, since it uses less digits than its factorization.

41003768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 41003768 is about 6403.4184620404. The cubic root of 41003768 is about 344.8322870338.

The spelling of 41003768 in words is "forty-one million, three thousand, seven hundred sixty-eight".