4201331024 has 30 divisors (see below), whose sum is σ = 8947363530. Its totient is φ = 1909695040.

The previous prime is 4201331021. The next prime is 4201331107.

4201331024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 3554544400 + 646786624 = 59620^2 + 25432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4201330987 and 4201331005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4201331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1083119 + ... + 1086990.

It is an arithmetic number, because the mean of its divisors is an integer number (298245451).

Almost surely, 2^4201331024 is an apocalyptic number.

4201331024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4201331024 is an abundant number, since it is smaller than the sum of its proper divisors (4746032506).

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

4201331024 is a wasteful number, since it uses less digits than its factorization.

4201331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170139 (or 2170122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4201331024 is about 64817.6752437173. The cubic root of 4201331024 is about 1613.5990655034.

It can be divided in two parts, 42013 and 31024, that added together give a palindrome (73037).

The spelling of 4201331024 in words is "four billion, two hundred one million, three hundred thirty-one thousand, twenty-four".