10400042000 has 40 divisors (see below), whose sum is σ = 25147306392. Its totient is φ = 4160016000.

The previous prime is 10400041987. The next prime is 10400042011. The reversal of 10400042000 is 24000401.

It can be written as a sum of positive squares in 4 ways, for example, as 428821264 + 9971220736 = 20708^2 + 99856^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2598011 + ... + 2602010.

Almost surely, 2^10400042000 is an apocalyptic number.

10400042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400042000 is an abundant number, since it is smaller than the sum of its proper divisors (14747264392).

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

10400042000 is an equidigital number, since it uses as much as digits as its factorization.

10400042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5200044 (or 5200028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 10400042000 its reverse (24000401), we get a palindrome (10424042401).

The spelling of 10400042000 in words is "ten billion, four hundred million, forty-two thousand".