10400000000010 has 16 divisors (see below), whose sum is σ = 24960000000096. Its totient is φ = 2773333333328.

The previous prime is 10400000000009. The next prime is 10400000000017. The reversal of 10400000000010 is 1000000000401.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (10400000000017) 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 7 ways as a sum of consecutive naturals, for example, 173333333304 + ... + 173333333363.

It is an arithmetic number, because the mean of its divisors is an integer number (1560000000006).

Almost surely, 2^{10400000000010} is an apocalyptic number.

10400000000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10400000000010 is an abundant number, since it is smaller than the sum of its proper divisors (14560000000086).

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

10400000000010 is a wasteful number, since it uses less digits than its factorization.

10400000000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346666666677.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10400000000010 its reverse (1000000000401), we get a palindrome (11400000000411).

The spelling of 10400000000010 in words is "ten trillion, four hundred billion, ten", and thus it is an aban number.