420133331024 has 80 divisors (see below), whose sum is σ = 891918609984. Its totient is φ = 190130688000.

The previous prime is 420133331017. The next prime is 420133331027.

420133331024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420133330984 and 420133331002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420133331027) 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 15 ways as a sum of consecutive naturals, for example, 42428474 + ... + 42438374.

Almost surely, 2^420133331024 is an apocalyptic number.

420133331024 is a gapful number since it is divisible by the number (44) 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 420133331024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445959304992).

420133331024 is an abundant number, since it is smaller than the sum of its proper divisors (471785278960).

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

420133331024 is a wasteful number, since it uses less digits than its factorization.

420133331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10950 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 420133 and 331024, that added together give a palindrome (751157).

The spelling of 420133331024 in words is "four hundred twenty billion, one hundred thirty-three million, three hundred thirty-one thousand, twenty-four".