201401111440 has 80 divisors (see below), whose sum is σ = 477025896960. Its totient is φ = 79056691200.

The previous prime is 201401111423. The next prime is 201401111441. The reversal of 201401111440 is 44111104102.

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

It is not an unprimeable number, because it can be changed into a prime (201401111441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2686465 + ... + 2760415.

It is an arithmetic number, because the mean of its divisors is an integer number (5962823712).

Almost surely, 2^201401111440 is an apocalyptic number.

201401111440 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 201401111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238512948480).

201401111440 is an abundant number, since it is smaller than the sum of its proper divisors (275624785520).

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

201401111440 is a wasteful number, since it uses less digits than its factorization.

201401111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74600 (or 74594 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 201401111440 its reverse (44111104102), we get a palindrome (245512215542).

The spelling of 201401111440 in words is "two hundred one billion, four hundred one million, one hundred eleven thousand, four hundred forty".