11277048440 has 128 divisors (see below), whose sum is σ = 29470003200. Its totient is φ = 3804019200.

The previous prime is 11277048427. The next prime is 11277048449. The reversal of 11277048440 is 4484077211.

Together with 18192954759 it forms a betrothed pair.

It is a junction number, because it is equal to n+sod(n) for n = 11277048394 and 11277048403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11277048449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4607297 + ... + 4609743.

It is an arithmetic number, because the mean of its divisors is an integer number (230234400).

Almost surely, 2^11277048440 is an apocalyptic number.

11277048440 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 11277048440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735001600).

11277048440 is an abundant number, since it is smaller than the sum of its proper divisors (18192954760).

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

11277048440 is a wasteful number, since it uses less digits than its factorization.

11277048440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 38.

The spelling of 11277048440 in words is "eleven billion, two hundred seventy-seven million, forty-eight thousand, four hundred forty".