11144401144140 has 96 divisors (see below), whose sum is σ = 35521126857216. Its totient is φ = 2584208957440.

The previous prime is 11144401144139. The next prime is 11144401144249. The reversal of 11144401144140 is 4144110444111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11144401144098 and 11144401144107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367059957 + ... + 367090316.

It is an arithmetic number, because the mean of its divisors is an integer number (370011738096).

Almost surely, 2^{11144401144140} is an apocalyptic number.

11144401144140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11144401144140 is an abundant number, since it is smaller than the sum of its proper divisors (24376725713076).

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

11144401144140 is a wasteful number, since it uses less digits than its factorization.

11144401144140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734150319 (or 734150317 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 11144401144140 its reverse (4144110444111), we get a palindrome (15288511588251).

The spelling of 11144401144140 in words is "eleven trillion, one hundred forty-four billion, four hundred one million, one hundred forty-four thousand, one hundred forty".