10013041440 has 144 divisors (see below), whose sum is σ = 34602422400. Its totient is φ = 2636315136.

The previous prime is 10013041433. The next prime is 10013041457. The reversal of 10013041440 is 4414031001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69751 + ... + 157769.

It is an arithmetic number, because the mean of its divisors is an integer number (240294600).

Almost surely, 2^10013041440 is an apocalyptic number.

10013041440 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 10013041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301211200).

10013041440 is an abundant number, since it is smaller than the sum of its proper divisors (24589380960).

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

10013041440 is a wasteful number, since it uses less digits than its factorization.

10013041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88119 (or 88108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10013041440 its reverse (4414031001), we get a palindrome (14427072441).

The spelling of 10013041440 in words is "ten billion, thirteen million, forty-one thousand, four hundred forty".