41338920 has 128 divisors (see below), whose sum is σ = 146707200. Its totient is φ = 9117696.

The previous prime is 41338901. The next prime is 41338931. The reversal of 41338920 is 2983314.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 23512 + ... + 25208.

It is an arithmetic number, because the mean of its divisors is an integer number (1146150).

Almost surely, 2^41338920 is an apocalyptic number.

41338920 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 41338920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73353600).

41338920 is an abundant number, since it is smaller than the sum of its proper divisors (105368280).

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

41338920 is a wasteful number, since it uses less digits than its factorization.

41338920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 41338920 is about 6429.5349754084. The cubic root of 41338920 is about 345.7692559787.

The spelling of 41338920 in words is "forty-one million, three hundred thirty-eight thousand, nine hundred twenty".