10635441024 has 256 divisors, whose sum is σ = 31724904960. Its totient is φ = 3135283200.

The previous prime is 10635440983. The next prime is 10635441053. The reversal of 10635441024 is 42014453601.

It is a super-2 number, since 2×10635441024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10635440982 and 10635441000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13113579 + ... + 13114389.

It is an arithmetic number, because the mean of its divisors is an integer number (123925410).

Almost surely, 2^10635441024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10635441024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15862452480).

10635441024 is an abundant number, since it is smaller than the sum of its proper divisors (21089463936).

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

10635441024 is a wasteful number, since it uses less digits than its factorization.

10635441024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10635441024 its reverse (42014453601), we get a palindrome (52649894625).

The spelling of 10635441024 in words is "ten billion, six hundred thirty-five million, four hundred forty-one thousand, twenty-four".