11211442040 has 64 divisors (see below), whose sum is σ = 25856668800. Its totient is φ = 4373111808.

The previous prime is 11211442009. The next prime is 11211442093. The reversal of 11211442040 is 4024411211.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 509996 + ... + 531524.

It is an arithmetic number, because the mean of its divisors is an integer number (404010450).

Almost surely, 2^11211442040 is an apocalyptic number.

11211442040 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 11211442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928334400).

11211442040 is an abundant number, since it is smaller than the sum of its proper divisors (14645226760).

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

11211442040 is a wasteful number, since it uses less digits than its factorization.

11211442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864 (or 21860 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11211442040 its reverse (4024411211), we get a palindrome (15235853251).

The spelling of 11211442040 in words is "eleven billion, two hundred eleven million, four hundred forty-two thousand, forty".