4205424234000 has 160 divisors (see below), whose sum is σ = 14790859574400. Its totient is φ = 1019496768000.

The previous prime is 4205424233993. The next prime is 4205424234017. The reversal of 4205424234000 is 4324245024.

It is a super-3 number, since 3×4205424234000³ (a number of 39 digits) contains 333 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 31793275 + ... + 31925274.

It is an arithmetic number, because the mean of its divisors is an integer number (92442872340).

Almost surely, 2^{4205424234000} is an apocalyptic number.

4205424234000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205424234000 is an abundant number, since it is smaller than the sum of its proper divisors (10585435340400).

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

4205424234000 is a wasteful number, since it uses less digits than its factorization.

4205424234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63718586 (or 63718570 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 4205424234000 its reverse (4324245024), we get a palindrome (4209748479024).

The spelling of 4205424234000 in words is "four trillion, two hundred five billion, four hundred twenty-four million, two hundred thirty-four thousand".