20314200431040 has 112 divisors (see below), whose sum is σ = 64523077130880. Its totient is φ = 5414979159040.

The previous prime is 20314200431033. The next prime is 20314200431047. The reversal of 20314200431040 is 4013400241302.

It is an interprime number because it is at equal distance from previous prime (20314200431033) and next prime (20314200431047).

It is a super-3 number, since 3×20314200431040³ (a number of 41 digits) contains 333 as substring.

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 20314200431040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20314200431047) 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, 1750530 + ... + 6610049.

Almost surely, 2^{20314200431040} is an apocalyptic number.

20314200431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20314200431040 is an abundant number, since it is smaller than the sum of its proper divisors (44208876699840).

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

20314200431040 is a wasteful number, since it uses less digits than its factorization.

20314200431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8363130 (or 8363120 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20314200431040 its reverse (4013400241302), we get a palindrome (24327600672342).

The spelling of 20314200431040 in words is "twenty trillion, three hundred fourteen billion, two hundred million, four hundred thirty-one thousand, forty".