201124020440 has 128 divisors (see below), whose sum is σ = 544592678400. Its totient is φ = 65303884800.

The previous prime is 201124020413. The next prime is 201124020491. The reversal of 201124020440 is 44020421102.

201124020440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20482412 + ... + 20492228.

It is an arithmetic number, because the mean of its divisors is an integer number (4254630300).

Almost surely, 2^201124020440 is an apocalyptic number.

201124020440 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 201124020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272296339200).

201124020440 is an abundant number, since it is smaller than the sum of its proper divisors (343468657960).

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

201124020440 is a wasteful number, since it uses less digits than its factorization.

201124020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705 (or 13701 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201124020440 its reverse (44020421102), we get a palindrome (245144441542).

The spelling of 201124020440 in words is "two hundred one billion, one hundred twenty-four million, twenty thousand, four hundred forty".