201202414121440 has 48 divisors (see below), whose sum is σ = 475352552067120. Its totient is φ = 80478959518720.

The previous prime is 201202414121377. The next prime is 201202414121441. The reversal of 201202414121440 is 44121414202102.

It is a super-2 number, since 2×201202414121440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201202414121399 and 201202414121408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201202414121441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9225766 + ... + 22079845.

It is an arithmetic number, because the mean of its divisors is an integer number (9903178168065).

Almost surely, 2^{201202414121440} is an apocalyptic number.

201202414121440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202414121440 is an abundant number, since it is smaller than the sum of its proper divisors (274150137945680).

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

201202414121440 is a wasteful number, since it uses less digits than its factorization.

201202414121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31345795 (or 31345787 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 201202414121440 its reverse (44121414202102), we get a palindrome (245323828323542).

The spelling of 201202414121440 in words is "two hundred one trillion, two hundred two billion, four hundred fourteen million, one hundred twenty-one thousand, four hundred forty".