20434434000 has 320 divisors, whose sum is σ = 68538113280. Its totient is φ = 5233305600.

The previous prime is 20434433947. The next prime is 20434434023. The reversal of 20434434000 is 43443402.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18425446 + ... + 18426554.

It is an arithmetic number, because the mean of its divisors is an integer number (214181604).

Almost surely, 2^20434434000 is an apocalyptic number.

20434434000 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 20434434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34269056640).

20434434000 is an abundant number, since it is smaller than the sum of its proper divisors (48103679280).

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

20434434000 is a wasteful number, since it uses less digits than its factorization.

20434434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

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

Adding to 20434434000 its reverse (43443402), we get a palindrome (20477877402).

The spelling of 20434434000 in words is "twenty billion, four hundred thirty-four million, four hundred thirty-four thousand".