40442400 has 216 divisors, whose sum is σ = 147154644. Its totient is φ = 10444800.

The previous prime is 40442377. The next prime is 40442407. The reversal of 40442400 is 424404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6290064 + 34152336 = 2508^2 + 5844^2 .

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40442407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 295132 + ... + 295268.

Almost surely, 2^40442400 is an apocalyptic number.

40442400 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 40442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73577322).

40442400 is an abundant number, since it is smaller than the sum of its proper divisors (106712244).

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

40442400 is a wasteful number, since it uses less digits than its factorization.

40442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 40442400 is about 6359.4339370733. The cubic root of 40442400 is about 343.2513917205.

Adding to 40442400 its reverse (424404), we get a palindrome (40866804).

The spelling of 40442400 in words is "forty million, four hundred forty-two thousand, four hundred".