10324340400 has 120 divisors (see below), whose sum is σ = 36078922944. Its totient is φ = 2502867200.

The previous prime is 10324340393. The next prime is 10324340401. The reversal of 10324340400 is 404342301.

10324340400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (10324340401) 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 23 ways as a sum of consecutive naturals, for example, 377874 + ... + 404273.

Almost surely, 2^10324340400 is an apocalyptic number.

10324340400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10324340400 is an abundant number, since it is smaller than the sum of its proper divisors (25754582544).

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

10324340400 is a wasteful number, since it uses less digits than its factorization.

10324340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782179 (or 782168 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10324340400 its reverse (404342301), we get a palindrome (10728682701).

The spelling of 10324340400 in words is "ten billion, three hundred twenty-four million, three hundred forty thousand, four hundred".