10420024146 has 48 divisors (see below), whose sum is σ = 24311422944. Its totient is φ = 2968686336.

The previous prime is 10420024117. The next prime is 10420024159. The reversal of 10420024146 is 64142002401.

It is a happy number.

10420024146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 53581 + ... + 153983.

It is an arithmetic number, because the mean of its divisors is an integer number (506487978).

Almost surely, 2^10420024146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420024146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12155711472).

10420024146 is an abundant number, since it is smaller than the sum of its proper divisors (13891398798).

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

10420024146 is a wasteful number, since it uses less digits than its factorization.

10420024146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100775 (or 100768 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10420024146 its reverse (64142002401), we get a palindrome (74562026547).

The spelling of 10420024146 in words is "ten billion, four hundred twenty million, twenty-four thousand, one hundred forty-six".