10344240400 has 60 divisors (see below), whose sum is σ = 26763746212. Its totient is φ = 3819409920.

The previous prime is 10344240373. The next prime is 10344240419. The reversal of 10344240400 is 404244301.

It can be written as a sum of positive squares in 6 ways, for example, as 2111218704 + 8233021696 = 45948^2 + 90736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 989439 + ... + 999838.

Almost surely, 2^10344240400 is an apocalyptic number.

10344240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10344240400 is an abundant number, since it is smaller than the sum of its proper divisors (16419505812).

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

10344240400 is a wasteful number, since it uses less digits than its factorization.

10344240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989308 (or 1989297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 10344240400 its reverse (404244301), we get a palindrome (10748484701).

The spelling of 10344240400 in words is "ten billion, three hundred forty-four million, two hundred forty thousand, four hundred".