40424400400 has 30 divisors (see below), whose sum is σ = 97119622922. Its totient is φ = 16169760000.

The previous prime is 40424400391. The next prime is 40424400403. The reversal of 40424400400 is 400442404.

It can be written as a sum of positive squares in 3 ways, for example, as 1163355664 + 39261044736 = 34108^2 + 198144^2 .

It is not an unprimeable number, because it can be changed into a prime (40424400403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 50530101 + ... + 50530900.

Almost surely, 2^40424400400 is an apocalyptic number.

40424400400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40424400400 is an abundant number, since it is smaller than the sum of its proper divisors (56695222522).

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

40424400400 is a wasteful number, since it uses less digits than its factorization.

40424400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101061019 (or 101061008 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40424400400 its reverse (400442404), we get a palindrome (40824842804).

The spelling of 40424400400 in words is "forty billion, four hundred twenty-four million, four hundred thousand, four hundred".