41550400 has 42 divisors (see below), whose sum is σ = 102243890. Its totient is φ = 16619520.

The previous prime is 41550367. The next prime is 41550401. The reversal of 41550400 is 405514.

It can be written as a sum of positive squares in 3 ways, for example, as 179776 + 41370624 = 424^2 + 6432^2 .

It is not an unprimeable number, because it can be changed into a prime (41550401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11385 + ... + 14584.

Almost surely, 2^41550400 is an apocalyptic number.

41550400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41550400 is an abundant number, since it is smaller than the sum of its proper divisors (60693490).

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

41550400 is a wasteful number, since it uses less digits than its factorization.

41550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25991 (or 25976 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 41550400 is about 6445.9599750541. The cubic root of 41550400 is about 346.3578775628.

Adding to 41550400 its reverse (405514), we get a palindrome (41955914).

The spelling of 41550400 in words is "forty-one million, five hundred fifty thousand, four hundred".