20314104133440 has 448 divisors, whose sum is σ = 69941469911040. Its totient is φ = 4965738946560.

The previous prime is 20314104133423. The next prime is 20314104133487. The reversal of 20314104133440 is 4433140141302.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20314104133398 and 20314104133407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229733501 + ... + 1229750019.

It is an arithmetic number, because the mean of its divisors is an integer number (156119352480).

Almost surely, 2^{20314104133440} is an apocalyptic number.

20314104133440 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 20314104133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34970734955520).

20314104133440 is an abundant number, since it is smaller than the sum of its proper divisors (49627365777600).

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

20314104133440 is a wasteful number, since it uses less digits than its factorization.

20314104133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17230 (or 17220 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 20314104133440 its reverse (4433140141302), we get a palindrome (24747244274742).

The spelling of 20314104133440 in words is "twenty trillion, three hundred fourteen billion, one hundred four million, one hundred thirty-three thousand, four hundred forty".