11254114240 has 112 divisors (see below), whose sum is σ = 28505578752. Its totient is φ = 4217389056.

The previous prime is 11254114211. The next prime is 11254114259. The reversal of 11254114240 is 4241145211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208482 + ... + 1217758.

It is an arithmetic number, because the mean of its divisors is an integer number (254514096).

Almost surely, 2^11254114240 is an apocalyptic number.

11254114240 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 11254114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14252789376).

11254114240 is an abundant number, since it is smaller than the sum of its proper divisors (17251464512).

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

11254114240 is a wasteful number, since it uses less digits than its factorization.

11254114240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9534 (or 9524 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 11254114240 its reverse (4241145211), we get a palindrome (15495259451).

The spelling of 11254114240 in words is "eleven billion, two hundred fifty-four million, one hundred fourteen thousand, two hundred forty".