10111440404120 has 128 divisors (see below), whose sum is σ = 25463202336000. Its totient is φ = 3581899937280.

The previous prime is 10111440404089. The next prime is 10111440404129. The reversal of 10111440404120 is 2140404411101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111440404129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6465626 + ... + 7875734.

It is an arithmetic number, because the mean of its divisors is an integer number (198931268250).

Almost surely, 2^{10111440404120} is an apocalyptic number.

10111440404120 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 10111440404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12731601168000).

10111440404120 is an abundant number, since it is smaller than the sum of its proper divisors (15351761931880).

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

10111440404120 is a wasteful number, since it uses less digits than its factorization.

10111440404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410553 (or 1410549 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 10111440404120 its reverse (2140404411101), we get a palindrome (12251844815221).

The spelling of 10111440404120 in words is "ten trillion, one hundred eleven billion, four hundred forty million, four hundred four thousand, one hundred twenty".