10024140032 has 72 divisors (see below), whose sum is σ = 21231596232. Its totient is φ = 4707123200.

The previous prime is 10024140013. The next prime is 10024140053. The reversal of 10024140032 is 23004142001.

It can be written as a sum of positive squares in 4 ways, for example, as 3297515776 + 6726624256 = 57424^2 + 82016^2 .

It is a super-2 number, since 2×10024140032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2265182 + ... + 2269602.

It is an arithmetic number, because the mean of its divisors is an integer number (294883281).

Almost surely, 2^10024140032 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 10024140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615798116).

10024140032 is an abundant number, since it is smaller than the sum of its proper divisors (11207456200).

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

10024140032 is an equidigital number, since it uses as much as digits as its factorization.

10024140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10024140032 its reverse (23004142001), we get a palindrome (33028282033).

The spelling of 10024140032 in words is "ten billion, twenty-four million, one hundred forty thousand, thirty-two".