11127611000440 has 64 divisors (see below), whose sum is σ = 27316603192320. Its totient is φ = 4045903824000.

The previous prime is 11127611000411. The next prime is 11127611000449. The reversal of 11127611000440 is 4400011672111.

It is a super-2 number, since 2×11127611000440² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11127611000399 and 11127611000408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11127611000449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009845 + ... + 5127835.

It is an arithmetic number, because the mean of its divisors is an integer number (426821924880).

Almost surely, 2^{11127611000440} is an apocalyptic number.

11127611000440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127611000440 is an abundant number, since it is smaller than the sum of its proper divisors (16188992191880).

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

11127611000440 is a wasteful number, since it uses less digits than its factorization.

11127611000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126124 (or 3126120 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 28.

Adding to 11127611000440 its reverse (4400011672111), we get a palindrome (15527622672551).

The spelling of 11127611000440 in words is "eleven trillion, one hundred twenty-seven billion, six hundred eleven million, four hundred forty", and thus it is an aban number.