41034400 has 72 divisors (see below), whose sum is σ = 109305504. Its totient is φ = 14918400.

The previous prime is 41034353. The next prime is 41034403. The reversal of 41034400 is 443014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41034403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6469 + ... + 11131.

It is an arithmetic number, because the mean of its divisors is an integer number (1518132).

Almost surely, 2^41034400 is an apocalyptic number.

41034400 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 41034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54652752).

41034400 is an abundant number, since it is smaller than the sum of its proper divisors (68271104).

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

41034400 is a wasteful number, since it uses less digits than its factorization.

41034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 41034400 is about 6405.8098629291. The cubic root of 41034400 is about 344.9181350252.

Adding to 41034400 its reverse (443014), we get a palindrome (41477414).

The spelling of 41034400 in words is "forty-one million, thirty-four thousand, four hundred".