41344900 has 27 divisors (see below), whose sum is σ = 89858181. Its totient is φ = 16512240.

The previous prime is 41344871. The next prime is 41344909. The reversal of 41344900 is 944314.

41344900 = 1301² + 1302² + ... + 1324².

It is a happy number.

The square root of 41344900 is 6430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 14884164 + 26460736 = 3858^2 + 5144^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41344909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63979 + ... + 64621.

Almost surely, 2^41344900 is an apocalyptic number.

41344900 is the 6430-th square number.

It is an amenable number.

41344900 is an abundant number, since it is smaller than the sum of its proper divisors (48513281).

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

41344900 is an equidigital number, since it uses as much as digits as its factorization.

41344900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 41344900 is about 345.7859279226.

Multiplying 41344900 by its sum of digits (25), we get a square (1033622500 = 32150²).

41344900 divided by its sum of digits (25) gives a square (1653796 = 1286²).

The spelling of 41344900 in words is "forty-one million, three hundred forty-four thousand, nine hundred".