20312414414000 has 160 divisors (see below), whose sum is σ = 49625215211520. Its totient is φ = 8040708480000.

The previous prime is 20312414413957. The next prime is 20312414414029. The reversal of 20312414414000 is 41441421302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447003281 + ... + 447048719.

It is an arithmetic number, because the mean of its divisors is an integer number (310157595072).

Almost surely, 2^{20312414414000} is an apocalyptic number.

20312414414000 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 20312414414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24812607605760).

20312414414000 is an abundant number, since it is smaller than the sum of its proper divisors (29312800797520).

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

20312414414000 is a wasteful number, since it uses less digits than its factorization.

20312414414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47776 (or 47760 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 20312414414000 its reverse (41441421302), we get a palindrome (20353855835302).

The spelling of 20312414414000 in words is "twenty trillion, three hundred twelve billion, four hundred fourteen million, four hundred fourteen thousand".