41038000 has 120 divisors (see below), whose sum is σ = 106894944. Its totient is φ = 15232000.

The previous prime is 41037947. The next prime is 41038001. The reversal of 41038000 is 83014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41038001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 577965 + ... + 578035.

Almost surely, 2^41038000 is an apocalyptic number.

41038000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53447472).

41038000 is an abundant number, since it is smaller than the sum of its proper divisors (65856944).

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

41038000 is a wasteful number, since it uses less digits than its factorization.

41038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 41038000 is about 6406.0908516817. The cubic root of 41038000 is about 344.9282214321.

The spelling of 41038000 in words is "forty-one million, thirty-eight thousand".