10011124240 has 80 divisors (see below), whose sum is σ = 25086394368. Its totient is φ = 3693454848.

The previous prime is 10011124231. The next prime is 10011124241. The reversal of 10011124240 is 4242111001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10011124241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1626609 + ... + 1632751.

Almost surely, 2^10011124240 is an apocalyptic number.

10011124240 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 10011124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12543197184).

10011124240 is an abundant number, since it is smaller than the sum of its proper divisors (15075270128).

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

10011124240 is a wasteful number, since it uses less digits than its factorization.

10011124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7736 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10011124240 its reverse (4242111001), we get a palindrome (14253235241).

The spelling of 10011124240 in words is "ten billion, eleven million, one hundred twenty-four thousand, two hundred forty".