41238400 has 144 divisors (see below), whose sum is σ = 118954440. Its totient is φ = 14085120.

The previous prime is 41238397. The next prime is 41238403. The reversal of 41238400 is 483214.

41238400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41238397) and next prime (41238403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41238403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156669 + ... + 156931.

Almost surely, 2^41238400 is an apocalyptic number.

41238400 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 41238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59477220).

41238400 is an abundant number, since it is smaller than the sum of its proper divisors (77716040).

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

41238400 is a wasteful number, since it uses less digits than its factorization.

41238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 41238400 is about 6421.7131670606. The cubic root of 41238400 is about 345.4887702178.

The spelling of 41238400 in words is "forty-one million, two hundred thirty-eight thousand, four hundred".