10403200000 has 132 divisors (see below), whose sum is σ = 26001632664. Its totient is φ = 4160000000.

The previous prime is 10403199977. The next prime is 10403200001. The reversal of 10403200000 is 230401.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10403200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403200001) by changing a digit.

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, 3198375 + ... + 3201625.

Almost surely, 2^10403200000 is an apocalyptic number.

10403200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13000816332).

10403200000 is an abundant number, since it is smaller than the sum of its proper divisors (15598432664).

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

10403200000 is an frugal number, since it uses more digits than its factorization.

10403200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3258 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 10403200000 its reverse (230401), we get a palindrome (10403430401).

The spelling of 10403200000 in words is "ten billion, four hundred three million, two hundred thousand".