20431413200 has 120 divisors (see below), whose sum is σ = 54427442016. Its totient is φ = 7307712000.

The previous prime is 20431413179. The next prime is 20431413217. The reversal of 20431413200 is 231413402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230339 + ... + 306461.

Almost surely, 2^20431413200 is an apocalyptic number.

20431413200 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 20431413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27213721008).

20431413200 is an abundant number, since it is smaller than the sum of its proper divisors (33996028816).

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

20431413200 is a wasteful number, since it uses less digits than its factorization.

20431413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76213 (or 76202 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20431413200 its reverse (231413402), we get a palindrome (20662826602).

The spelling of 20431413200 in words is "twenty billion, four hundred thirty-one million, four hundred thirteen thousand, two hundred".