11040221514420 has 288 divisors, whose sum is σ = 38338702811136. Its totient is φ = 2519135942400.

The previous prime is 11040221514419. The next prime is 11040221514433. The reversal of 11040221514420 is 2441512204011.

11040221514420 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 0 + 2 + 215 + 1 + 442 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3091631235 + ... + 3091634805.

It is an arithmetic number, because the mean of its divisors is an integer number (133120495872).

Almost surely, 2^{11040221514420} is an apocalyptic number.

11040221514420 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 11040221514420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169351405568).

11040221514420 is an abundant number, since it is smaller than the sum of its proper divisors (27298481296716).

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

11040221514420 is a wasteful number, since it uses less digits than its factorization.

11040221514420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11040221514420 its reverse (2441512204011), we get a palindrome (13481733718431).

The spelling of 11040221514420 in words is "eleven trillion, forty billion, two hundred twenty-one million, five hundred fourteen thousand, four hundred twenty".