10400400112 has 20 divisors (see below), whose sum is σ = 20492315640. Its totient is φ = 5112060608.

The previous prime is 10400400103. The next prime is 10400400113. The reversal of 10400400112 is 21100400401.

10400400112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400400112² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10400400092 and 10400400101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400400113) 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 3 ways as a sum of consecutive naturals, for example, 5507743 + ... + 5509630.

It is an arithmetic number, because the mean of its divisors is an integer number (1024615782).

Almost surely, 2^10400400112 is an apocalyptic number.

It is an amenable number.

10400400112 is a deficient number, since it is larger than the sum of its proper divisors (10091915528).

10400400112 is a wasteful number, since it uses less digits than its factorization.

10400400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017440 (or 11017434 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10400400112 its reverse (21100400401), we get a palindrome (31500800513).

The spelling of 10400400112 in words is "ten billion, four hundred million, four hundred thousand, one hundred twelve".