11242013040 has 240 divisors, whose sum is σ = 38867512320. Its totient is φ = 2910228480.

The previous prime is 11242013023. The next prime is 11242013051. The reversal of 11242013040 is 4031024211.

11242013040 is a `hidden beast` number, since 112 + 420 + 130 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6759249 + ... + 6760911.

It is an arithmetic number, because the mean of its divisors is an integer number (161947968).

Almost surely, 2^11242013040 is an apocalyptic number.

11242013040 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 11242013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19433756160).

11242013040 is an abundant number, since it is smaller than the sum of its proper divisors (27625499280).

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

11242013040 is a wasteful number, since it uses less digits than its factorization.

11242013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11242013040 its reverse (4031024211), we get a palindrome (15273037251).

The spelling of 11242013040 in words is "eleven billion, two hundred forty-two million, thirteen thousand, forty".