20424436434000 has 240 divisors, whose sum is σ = 71345527750224. Its totient is φ = 5445769728000.

The previous prime is 20424436433963. The next prime is 20424436434023. The reversal of 20424436434000 is 43463442402.

20424436434000 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 4 + 4 + 3 + 643 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1778414279184 + 18646022154816 = 1333572^2 + 4318104^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 138040060 + ... + 138187940.

Almost surely, 2^{20424436434000} is an apocalyptic number.

20424436434000 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 20424436434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35672763875112).

20424436434000 is an abundant number, since it is smaller than the sum of its proper divisors (50921091316224).

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

20424436434000 is a wasteful number, since it uses less digits than its factorization.

20424436434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155583 (or 155564 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 20424436434000 its reverse (43463442402), we get a palindrome (20467899876402).

The spelling of 20424436434000 in words is "twenty trillion, four hundred twenty-four billion, four hundred thirty-six million, four hundred thirty-four thousand".