10241440020 has 432 divisors, whose sum is σ = 37477859328. Its totient is φ = 2255662080.

The previous prime is 10241440019. The next prime is 10241440039. The reversal of 10241440020 is 2004414201.

10241440020 is a `hidden beast` number, since 1 + 0 + 241 + 4 + 400 + 20 = 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 = 10241439975 and 10241440002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45925629 + ... + 45925851.

It is an arithmetic number, because the mean of its divisors is an integer number (86754304).

Almost surely, 2^10241440020 is an apocalyptic number.

10241440020 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 10241440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738929664).

10241440020 is an abundant number, since it is smaller than the sum of its proper divisors (27236419308).

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

10241440020 is a wasteful number, since it uses less digits than its factorization.

10241440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 408 counting only the distinct ones).

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

Adding to 10241440020 its reverse (2004414201), we get a palindrome (12245854221).

The spelling of 10241440020 in words is "ten billion, two hundred forty-one million, four hundred forty thousand, twenty".