201414220311440 has 40 divisors (see below), whose sum is σ = 468346171188480. Its totient is φ = 80555690883456.

The previous prime is 201414220311431. The next prime is 201414220311449. The reversal of 201414220311440 is 44113022414102.

It is an interprime number because it is at equal distance from previous prime (201414220311431) and next prime (201414220311449).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (201414220311449) 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, 155558144 + ... + 156847583.

It is an arithmetic number, because the mean of its divisors is an integer number (11708654279712).

Almost surely, 2^{201414220311440} is an apocalyptic number.

201414220311440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201414220311440 is an abundant number, since it is smaller than the sum of its proper divisors (266931950877040).

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

201414220311440 is a wasteful number, since it uses less digits than its factorization.

201414220311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312413799 (or 312413793 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 201414220311440 its reverse (44113022414102), we get a palindrome (245527242725542).

The spelling of 201414220311440 in words is "two hundred one trillion, four hundred fourteen billion, two hundred twenty million, three hundred eleven thousand, four hundred forty".