10024320420 has 72 divisors (see below), whose sum is σ = 31148764920. Its totient is φ = 2607951360.

The previous prime is 10024320403. The next prime is 10024320431. The reversal of 10024320420 is 2402342001.

10024320420 is a `hidden beast` number, since 1 + 0 + 0 + 243 + 2 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 797949504 + 9226370916 = 28248^2 + 96054^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10024320393 and 10024320402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 671775 + ... + 686534.

It is an arithmetic number, because the mean of its divisors is an integer number (432621735).

Almost surely, 2^10024320420 is an apocalyptic number.

10024320420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024320420 is an abundant number, since it is smaller than the sum of its proper divisors (21124444500).

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

10024320420 is a wasteful number, since it uses less digits than its factorization.

10024320420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358365 (or 1358360 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10024320420 its reverse (2402342001), we get a palindrome (12426662421).

The spelling of 10024320420 in words is "ten billion, twenty-four million, three hundred twenty thousand, four hundred twenty".