331435124020 has 288 divisors, whose sum is σ = 972066251520. Its totient is φ = 92067655680.

The previous prime is 331435123949. The next prime is 331435124021. The reversal of 331435124020 is 20421534133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 331435124020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331435124021) 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 95 ways as a sum of consecutive naturals, for example, 7525584 + ... + 7569496.

It is an arithmetic number, because the mean of its divisors is an integer number (3375230040).

Almost surely, 2^331435124020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331435124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486033125760).

331435124020 is an abundant number, since it is smaller than the sum of its proper divisors (640631127500).

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

331435124020 is a wasteful number, since it uses less digits than its factorization.

331435124020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43995 (or 43980 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 331435124020 its reverse (20421534133), we get a palindrome (351856658153).

The spelling of 331435124020 in words is "three hundred thirty-one billion, four hundred thirty-five million, one hundred twenty-four thousand, twenty".