4201534424000 has 112 divisors (see below), whose sum is σ = 10406518480800. Its totient is φ = 1680384665600.

The previous prime is 4201534423963. The next prime is 4201534424057. The reversal of 4201534424000 is 4244351024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66344351 + ... + 66407649.

Almost surely, 2^{4201534424000} is an apocalyptic number.

4201534424000 is a gapful number since it is divisible by the number (40) 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 4201534424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5203259240400).

4201534424000 is an abundant number, since it is smaller than the sum of its proper divisors (6204984056800).

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

4201534424000 is an equidigital number, since it uses as much as digits as its factorization.

4201534424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71623 (or 71603 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 4201534424000 its reverse (4244351024), we get a palindrome (4205778775024).

The spelling of 4201534424000 in words is "four trillion, two hundred one billion, five hundred thirty-four million, four hundred twenty-four thousand".