41134400 has 84 divisors (see below), whose sum is σ = 103558848. Its totient is φ = 16074240.

The previous prime is 41134391. The next prime is 41134403. The reversal of 41134400 is 443114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41134403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 74927 + ... + 75473.

Almost surely, 2^41134400 is an apocalyptic number.

41134400 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 41134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51779424).

41134400 is an abundant number, since it is smaller than the sum of its proper divisors (62424448).

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

41134400 is a wasteful number, since it uses less digits than its factorization.

41134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 41134400 is about 6413.6105276201. The cubic root of 41134400 is about 345.1980938951.

Adding to 41134400 its reverse (443114), we get a palindrome (41577514).

The spelling of 41134400 in words is "forty-one million, one hundred thirty-four thousand, four hundred".