41838640 has 40 divisors (see below), whose sum is σ = 98462448. Its totient is φ = 16531200.

The previous prime is 41838607. The next prime is 41838647. The reversal of 41838640 is 4683814.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 41838596 and 41838605.

It is not an unprimeable number, because it can be changed into a prime (41838647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 9790.

Almost surely, 2^41838640 is an apocalyptic number.

41838640 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 41838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49231224).

41838640 is an abundant number, since it is smaller than the sum of its proper divisors (56623808).

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

41838640 is a wasteful number, since it uses less digits than its factorization.

41838640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 41838640 is about 6468.2795239538. The cubic root of 41838640 is about 347.1569410808.

The spelling of 41838640 in words is "forty-one million, eight hundred thirty-eight thousand, six hundred forty".