2201124011440 has 80 divisors (see below), whose sum is σ = 5201054521920. Its totient is φ = 866148433920.

The previous prime is 2201124011311. The next prime is 2201124011509. The reversal of 2201124011440 is 441104211022.

2201124011440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2171776 + ... + 3019744.

It is an arithmetic number, because the mean of its divisors is an integer number (65013181524).

Almost surely, 2^{2201124011440} is an apocalyptic number.

2201124011440 is a gapful number since it is divisible by the number (20) 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 2201124011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600527260960).

2201124011440 is an abundant number, since it is smaller than the sum of its proper divisors (2999930510480).

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

2201124011440 is a wasteful number, since it uses less digits than its factorization.

2201124011440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848510 (or 848504 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 2201124011440 its reverse (441104211022), we get a palindrome (2642228222462).

The spelling of 2201124011440 in words is "two trillion, two hundred one billion, one hundred twenty-four million, eleven thousand, four hundred forty".