201401413440 has 112 divisors (see below), whose sum is σ = 639543552000. Its totient is φ = 53699143680.

The previous prime is 201401413403. The next prime is 201401413441. The reversal of 201401413440 is 44314104102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201401413440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201401413441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9696186 + ... + 9716934.

Almost surely, 2^201401413440 is an apocalyptic number.

201401413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201401413440 is an abundant number, since it is smaller than the sum of its proper divisors (438142138560).

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

201401413440 is a wasteful number, since it uses less digits than its factorization.

201401413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30880 (or 30870 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201401413440 its reverse (44314104102), we get a palindrome (245715517542).

The spelling of 201401413440 in words is "two hundred one billion, four hundred one million, four hundred thirteen thousand, four hundred forty".