40020442400 has 72 divisors (see below), whose sum is σ = 97729346484. Its totient is φ = 16003353600.

The previous prime is 40020442381. The next prime is 40020442471. The reversal of 40020442400 is 424402004.

It can be written as a sum of positive squares in 6 ways, for example, as 5336594704 + 34683847696 = 73052^2 + 186236^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3941330 + ... + 3951470.

Almost surely, 2^40020442400 is an apocalyptic number.

40020442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40020442400 is an abundant number, since it is smaller than the sum of its proper divisors (57708904084).

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

40020442400 is a wasteful number, since it uses less digits than its factorization.

40020442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15094 (or 15081 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 40020442400 its reverse (424402004), we get a palindrome (40444844404).

The spelling of 40020442400 in words is "forty billion, twenty million, four hundred forty-two thousand, four hundred".