201420111440 has 120 divisors (see below), whose sum is σ = 483258578400. Its totient is φ = 78056732160.

The previous prime is 201420111437. The next prime is 201420111461. The reversal of 201420111440 is 44111024102.

201420111440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×201420111440² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19939511 + ... + 19949609.

It is an arithmetic number, because the mean of its divisors is an integer number (4027154820).

Almost surely, 2^201420111440 is an apocalyptic number.

201420111440 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 201420111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241629289200).

201420111440 is an abundant number, since it is smaller than the sum of its proper divisors (281838466960).

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

201420111440 is a wasteful number, since it uses less digits than its factorization.

201420111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 201420111440 its reverse (44111024102), we get a palindrome (245531135542).

The spelling of 201420111440 in words is "two hundred one billion, four hundred twenty million, one hundred eleven thousand, four hundred forty".