10044040400 has 60 divisors (see below), whose sum is σ = 24526453644. Its totient is φ = 3951744000.

The previous prime is 10044040381. The next prime is 10044040403. The reversal of 10044040400 is 404044001.

10044040400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2698179136 + 7345861264 = 51944^2 + 85708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044040403) 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 11 ways as a sum of consecutive naturals, for example, 181421 + ... + 230220.

Almost surely, 2^10044040400 is an apocalyptic number.

10044040400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10044040400 is an abundant number, since it is smaller than the sum of its proper divisors (14482413244).

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

10044040400 is a wasteful number, since it uses less digits than its factorization.

10044040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411720 (or 411709 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 10044040400 its reverse (404044001), we get a palindrome (10448084401).

It can be divided in two parts, 1004 and 4040400, that added together give a palindrome (4041404).

The spelling of 10044040400 in words is "ten billion, forty-four million, forty thousand, four hundred".