10340200400 has 60 divisors (see below), whose sum is σ = 24852105792. Its totient is φ = 4134453120.

The previous prime is 10340200333. The next prime is 10340200417. The reversal of 10340200400 is 400204301.

10340200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 1998617 + ... + 2003783.

Almost surely, 2^10340200400 is an apocalyptic number.

10340200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10340200400 is an abundant number, since it is smaller than the sum of its proper divisors (14511905392).

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

10340200400 is a wasteful number, since it uses less digits than its factorization.

10340200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10188 (or 10177 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10340200400 its reverse (400204301), we get a palindrome (10740404701).

The spelling of 10340200400 in words is "ten billion, three hundred forty million, two hundred thousand, four hundred".