420232232024 has 128 divisors (see below), whose sum is σ = 922703443200. Its totient is φ = 177401664000.

The previous prime is 420232231999. The next prime is 420232232047.

420232232024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×420232232024² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420232231984 and 420232232002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31304834 + ... + 31318254.

It is an arithmetic number, because the mean of its divisors is an integer number (7208620650).

Almost surely, 2^420232232024 is an apocalyptic number.

420232232024 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 420232232024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461351721600).

420232232024 is an abundant number, since it is smaller than the sum of its proper divisors (502471211176).

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

420232232024 is a wasteful number, since it uses less digits than its factorization.

420232232024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 420232 and 232024, that added together give a palindrome (652256).

The spelling of 420232232024 in words is "four hundred twenty billion, two hundred thirty-two million, two hundred thirty-two thousand, twenty-four".