20434234200 has 192 divisors, whose sum is σ = 65468904960. Its totient is φ = 5268395520.

The previous prime is 20434234199. The next prime is 20434234229. The reversal of 20434234200 is 243243402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3615777 + ... + 3621423.

It is an arithmetic number, because the mean of its divisors is an integer number (340983880).

Almost surely, 2^20434234200 is an apocalyptic number.

20434234200 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 20434234200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32734452480).

20434234200 is an abundant number, since it is smaller than the sum of its proper divisors (45034670760).

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

20434234200 is a wasteful number, since it uses less digits than its factorization.

20434234200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20434234200 its reverse (243243402), we get a palindrome (20677477602).

The spelling of 20434234200 in words is "twenty billion, four hundred thirty-four million, two hundred thirty-four thousand, two hundred".