10011144113440 has 96 divisors (see below), whose sum is σ = 24897026185920. Its totient is φ = 3793560873984.

The previous prime is 10011144113407. The next prime is 10011144113491. The reversal of 10011144113440 is 4431144111001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138061834 + ... + 138134326.

It is an arithmetic number, because the mean of its divisors is an integer number (259344022770).

Almost surely, 2^{10011144113440} is an apocalyptic number.

10011144113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011144113440 is an abundant number, since it is smaller than the sum of its proper divisors (14885882072480).

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

10011144113440 is a wasteful number, since it uses less digits than its factorization.

10011144113440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117954 (or 117946 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10011144113440 its reverse (4431144111001), we get a palindrome (14442288224441).

The spelling of 10011144113440 in words is "ten trillion, eleven billion, one hundred forty-four million, one hundred thirteen thousand, four hundred forty".