10210442424 has 192 divisors, whose sum is σ = 32196810240. Its totient is φ = 2674425600.

The previous prime is 10210442419. The next prime is 10210442443. The reversal of 10210442424 is 42424401201.

10210442424 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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 10210442394 and 10210442403.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2306277 + ... + 2310699.

It is an arithmetic number, because the mean of its divisors is an integer number (167691720).

Almost surely, 2^10210442424 is an apocalyptic number.

10210442424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210442424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098405120).

10210442424 is an abundant number, since it is smaller than the sum of its proper divisors (21986367816).

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

10210442424 is a wasteful number, since it uses less digits than its factorization.

10210442424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10210442424 its reverse (42424401201), we get a palindrome (52634843625).

The spelling of 10210442424 in words is "ten billion, two hundred ten million, four hundred forty-two thousand, four hundred twenty-four".