41542400 has 54 divisors (see below), whose sum is σ = 102839772. Its totient is φ = 16614400.

The previous prime is 41542399. The next prime is 41542427. The reversal of 41542400 is 424514.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 3155 + ... + 9645.

Almost surely, 2^41542400 is an apocalyptic number.

41542400 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 41542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51419886).

41542400 is an abundant number, since it is smaller than the sum of its proper divisors (61297372).

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

41542400 is an equidigital number, since it uses as much as digits as its factorization.

41542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6517 (or 6498 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 41542400 is about 6445.3394014590. The cubic root of 41542400 is about 346.3356472042.

Adding to 41542400 its reverse (424514), we get a palindrome (41966914).

The spelling of 41542400 in words is "forty-one million, five hundred forty-two thousand, four hundred".