420032230024 has 48 divisors (see below), whose sum is σ = 866180298060. Its totient is φ = 190810224000.

The previous prime is 420032229937. The next prime is 420032230049.

420032230024 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 411971422500 + 8060807524 = 641850^2 + 89782^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 420032229977 and 420032230004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1510674 + ... + 1766974.

Almost surely, 2^420032230024 is an apocalyptic number.

420032230024 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 420032230024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433090149030).

420032230024 is an abundant number, since it is smaller than the sum of its proper divisors (446148068036).

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

420032230024 is a wasteful number, since it uses less digits than its factorization.

420032230024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258022 (or 258007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

It can be divided in two parts, 420032 and 230024, that added together give a palindrome (650056).

The spelling of 420032230024 in words is "four hundred twenty billion, thirty-two million, two hundred thirty thousand, twenty-four".