11211424040 has 128 divisors (see below), whose sum is σ = 26550374400. Its totient is φ = 4255580160.

The previous prime is 11211424033. The next prime is 11211424043. The reversal of 11211424040 is 4042411211.

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

It is not an unprimeable number, because it can be changed into a prime (11211424043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18905984 + ... + 18906576.

It is an arithmetic number, because the mean of its divisors is an integer number (207424800).

Almost surely, 2^11211424040 is an apocalyptic number.

11211424040 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 11211424040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275187200).

11211424040 is an abundant number, since it is smaller than the sum of its proper divisors (15338950360).

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

11211424040 is a wasteful number, since it uses less digits than its factorization.

11211424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 903 counting only the distinct ones).

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

Adding to 11211424040 its reverse (4042411211), we get a palindrome (15253835251).

The spelling of 11211424040 in words is "eleven billion, two hundred eleven million, four hundred twenty-four thousand, forty".