10024040533032 has 96 divisors (see below), whose sum is σ = 27363982464000. Its totient is φ = 3314822337792.

The previous prime is 10024040533027. The next prime is 10024040533033. The reversal of 10024040533032 is 23033504042001.

10024040533032 is a `hidden beast` number, since 10 + 0 + 240 + 405 + 3 + 3 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×10024040533032² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024040532987 and 10024040533005.

It is not an unprimeable number, because it can be changed into a prime (10024040533033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207517219 + ... + 207565517.

It is an arithmetic number, because the mean of its divisors is an integer number (285041484000).

Almost surely, 2^{10024040533032} is an apocalyptic number.

10024040533032 is a gapful number since it is divisible by the number (12) 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 10024040533032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13681991232000).

10024040533032 is an abundant number, since it is smaller than the sum of its proper divisors (17339941930968).

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

10024040533032 is a wasteful number, since it uses less digits than its factorization.

10024040533032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71135 (or 71128 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 10024040533032 its reverse (23033504042001), we get a palindrome (33057544575033).

The spelling of 10024040533032 in words is "ten trillion, twenty-four billion, forty million, five hundred thirty-three thousand, thirty-two".