10014242420 has 96 divisors (see below), whose sum is σ = 26072540928. Its totient is φ = 3146130432.

The previous prime is 10014242383. The next prime is 10014242453. The reversal of 10014242420 is 2424241001.

10014242420 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 10014242392 and 10014242401.

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 31 ways as a sum of consecutive naturals, for example, 229259 + ... + 269421.

It is an arithmetic number, because the mean of its divisors is an integer number (271588968).

Almost surely, 2^10014242420 is an apocalyptic number.

10014242420 is a gapful number since it is divisible by the number (10) 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 10014242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036270464).

10014242420 is an abundant number, since it is smaller than the sum of its proper divisors (16058298508).

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

10014242420 is a wasteful number, since it uses less digits than its factorization.

10014242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40329 (or 40327 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10014242420 its reverse (2424241001), we get a palindrome (12438483421).

The spelling of 10014242420 in words is "ten billion, fourteen million, two hundred forty-two thousand, four hundred twenty".