41338500 has 192 divisors, whose sum is σ = 143130624. Its totient is φ = 9072000.

The previous prime is 41338499. The next prime is 41338501. The reversal of 41338500 is 583314.

It is an interprime number because it is at equal distance from previous prime (41338499) and next prime (41338501).

It is not an unprimeable number, because it can be changed into a prime (41338501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 325437 + ... + 325563.

It is an arithmetic number, because the mean of its divisors is an integer number (745472).

Almost surely, 2^41338500 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 41338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71565312).

41338500 is an abundant number, since it is smaller than the sum of its proper divisors (101792124).

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

41338500 is a wasteful number, since it uses less digits than its factorization.

41338500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 41338500 is about 6429.5023135543. The cubic root of 41338500 is about 345.7680849791.

The spelling of 41338500 in words is "forty-one million, three hundred thirty-eight thousand, five hundred".