20431214434200 has 192 divisors, whose sum is σ = 63869323530240. Its totient is φ = 5402676974080.

The previous prime is 20431214434157. The next prime is 20431214434201. The reversal of 20431214434200 is 243441213402.

It is a super-3 number, since 3×20431214434200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20431214434201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39498439 + ... + 40012361.

It is an arithmetic number, because the mean of its divisors is an integer number (332652726720).

Almost surely, 2^{20431214434200} is an apocalyptic number.

20431214434200 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 20431214434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31934661765120).

20431214434200 is an abundant number, since it is smaller than the sum of its proper divisors (43438109096040).

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

20431214434200 is a wasteful number, since it uses less digits than its factorization.

20431214434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514498 (or 514489 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20431214434200 its reverse (243441213402), we get a palindrome (20674655647602).

The spelling of 20431214434200 in words is "twenty trillion, four hundred thirty-one billion, two hundred fourteen million, four hundred thirty-four thousand, two hundred".