11144265440 has 384 divisors, whose sum is σ = 34822545408. Its totient is φ = 3267348480.

The previous prime is 11144265413. The next prime is 11144265443. The reversal of 11144265440 is 4456244111.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11144265397 and 11144265406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144265443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18984827 + ... + 18985413.

It is an arithmetic number, because the mean of its divisors is an integer number (90683712).

Almost surely, 2^11144265440 is an apocalyptic number.

11144265440 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 11144265440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17411272704).

11144265440 is an abundant number, since it is smaller than the sum of its proper divisors (23678279968).

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

11144265440 is a wasteful number, since it uses less digits than its factorization.

11144265440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 11144265440 in words is "eleven billion, one hundred forty-four million, two hundred sixty-five thousand, four hundred forty".