201401414240 has 96 divisors (see below), whose sum is σ = 512621053056. Its totient is φ = 74333214720.

The previous prime is 201401414233. The next prime is 201401414261. The reversal of 201401414240 is 42414104102.

201401414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 5433209 + ... + 5470151.

It is an arithmetic number, because the mean of its divisors is an integer number (5339802636).

Almost surely, 2^201401414240 is an apocalyptic number.

201401414240 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 201401414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256310526528).

201401414240 is an abundant number, since it is smaller than the sum of its proper divisors (311219638816).

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

201401414240 is a wasteful number, since it uses less digits than its factorization.

201401414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39592 (or 39584 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 201401414240 its reverse (42414104102), we get a palindrome (243815518342).

The spelling of 201401414240 in words is "two hundred one billion, four hundred one million, four hundred fourteen thousand, two hundred forty".