10024441020 has 432 divisors, whose sum is σ = 35292348000. Its totient is φ = 2298024960.

The previous prime is 10024440997. The next prime is 10024441027. The reversal of 10024441020 is 2014442001.

10024441020 is a `hidden beast` number, since 10 + 0 + 244 + 410 + 2 + 0 = 666.

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 = 10024440984 and 10024441002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024441027) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37265446 + ... + 37265714.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 2^10024441020 is an apocalyptic number.

10024441020 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 10024441020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646174000).

10024441020 is an abundant number, since it is smaller than the sum of its proper divisors (25267906980).

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

10024441020 is a wasteful number, since it uses less digits than its factorization.

10024441020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 378 counting only the distinct ones).

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

Adding to 10024441020 its reverse (2014442001), we get a palindrome (12038883021).

The spelling of 10024441020 in words is "ten billion, twenty-four million, four hundred forty-one thousand, twenty".