201124331440 has 80 divisors (see below), whose sum is σ = 471680748000. Its totient is φ = 79751393280.

The previous prime is 201124331423. The next prime is 201124331501. The reversal of 201124331440 is 44133421102.

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, 10438936 + ... + 10458184.

It is an arithmetic number, because the mean of its divisors is an integer number (5896009350).

Almost surely, 2^201124331440 is an apocalyptic number.

201124331440 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 201124331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235840374000).

201124331440 is an abundant number, since it is smaller than the sum of its proper divisors (270556416560).

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

201124331440 is a wasteful number, since it uses less digits than its factorization.

201124331440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20390 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 201124331440 its reverse (44133421102), we get a palindrome (245257752542).

The spelling of 201124331440 in words is "two hundred one billion, one hundred twenty-four million, three hundred thirty-one thousand, four hundred forty".