10400004120 has 64 divisors (see below), whose sum is σ = 34036381440. Its totient is φ = 2521212800.

The previous prime is 10400004119. The next prime is 10400004127. The reversal of 10400004120 is 2140000401.

10400004120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10400004096 and 10400004105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400004127) 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 15 ways as a sum of consecutive naturals, for example, 3938076 + ... + 3940715.

It is an arithmetic number, because the mean of its divisors is an integer number (531818460).

Almost surely, 2^10400004120 is an apocalyptic number.

10400004120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10400004120 is an abundant number, since it is smaller than the sum of its proper divisors (23636377320).

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

10400004120 is a wasteful number, since it uses less digits than its factorization.

10400004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878816 (or 7878812 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10400004120 its reverse (2140000401), we get a palindrome (12540004521).

The spelling of 10400004120 in words is "ten billion, four hundred million, four thousand, one hundred twenty".