10424120004 has 36 divisors (see below), whose sum is σ = 26398614060. Its totient is φ = 3468277440.

The previous prime is 10424119987. The next prime is 10424120011. The reversal of 10424120004 is 40002142401.

10424120004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7305120900 + 3118999104 = 85470^2 + 55848^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 248139 + ... + 287090.

It is an arithmetic number, because the mean of its divisors is an integer number (733294835).

Almost surely, 2^10424120004 is an apocalyptic number.

It is an amenable number.

10424120004 is an abundant number, since it is smaller than the sum of its proper divisors (15974494056).

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

10424120004 is a wasteful number, since it uses less digits than its factorization.

10424120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535780 (or 535775 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10424120004 its reverse (40002142401), we get a palindrome (50426262405).

The spelling of 10424120004 in words is "ten billion, four hundred twenty-four million, one hundred twenty thousand, four".