41888400 has 120 divisors (see below), whose sum is σ = 136446624. Its totient is φ = 10982400.

The previous prime is 41888393. The next prime is 41888417. The reversal of 41888400 is 488814.

41888400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 80140 + ... + 80660.

Almost surely, 2^41888400 is an apocalyptic number.

41888400 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 41888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68223312).

41888400 is an abundant number, since it is smaller than the sum of its proper divisors (94558224).

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

41888400 is a wasteful number, since it uses less digits than its factorization.

41888400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 41888400 is about 6472.1248442841. The cubic root of 41888400 is about 347.2945147490.

The spelling of 41888400 in words is "forty-one million, eight hundred eighty-eight thousand, four hundred".