40443300 has 90 divisors (see below), whose sum is σ = 131127458. Its totient is φ = 10782720.

The previous prime is 40443287. The next prime is 40443307. The reversal of 40443300 is 334404.

It can be written as a sum of positive squares in 3 ways, for example, as 1205604 + 39237696 = 1098^2 + 6264^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-5 number, since 5×40443300⁵ (a number of 39 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (40443307) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5604 + ... + 10596.

Almost surely, 2^40443300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40443300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563729).

40443300 is an abundant number, since it is smaller than the sum of its proper divisors (90684158).

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

40443300 is a wasteful number, since it uses less digits than its factorization.

40443300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 40443300 is about 6359.5046976946. The cubic root of 40443300 is about 343.2539379258.

Adding to 40443300 its reverse (334404), we get a palindrome (40777704).

The spelling of 40443300 in words is "forty million, four hundred forty-three thousand, three hundred".