42204000400 has 30 divisors (see below), whose sum is σ = 101395111922. Its totient is φ = 16881600000.

The previous prime is 42204000331. The next prime is 42204000407. The reversal of 42204000400 is 400040224.

It can be written as a sum of positive squares in 3 ways, for example, as 2930273424 + 39273726976 = 54132^2 + 198176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (42204000407) 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, 52754601 + ... + 52755400.

Almost surely, 2^42204000400 is an apocalyptic number.

42204000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42204000400 is an abundant number, since it is smaller than the sum of its proper divisors (59191111522).

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

42204000400 is a wasteful number, since it uses less digits than its factorization.

42204000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105510019 (or 105510008 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42204000400 its reverse (400040224), we get a palindrome (42604040624).

The spelling of 42204000400 in words is "forty-two billion, two hundred four million, four hundred", and thus it is an aban number.