10400013200 has 30 divisors (see below), whose sum is σ = 24986032674. Its totient is φ = 4160005120.

The previous prime is 10400013199. The next prime is 10400013203. The reversal of 10400013200 is 231000401.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 581581456 + 9818431744 = 24116^2 + 99088^2 .

10400013200 is a modest number, since divided by 13200 gives 10400 as remainder.

It is not an unprimeable number, because it can be changed into a prime (10400013203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12999617 + ... + 13000416.

Almost surely, 2^10400013200 is an apocalyptic number.

10400013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400013200 is an abundant number, since it is smaller than the sum of its proper divisors (14586019474).

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

10400013200 is a wasteful number, since it uses less digits than its factorization.

10400013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26000051 (or 26000040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10400013200 its reverse (231000401), we get a palindrome (10631013601).

The spelling of 10400013200 in words is "ten billion, four hundred million, thirteen thousand, two hundred".