420434434024 has 48 divisors (see below), whose sum is σ = 868231980000. Its totient is φ = 190723362720.

The previous prime is 420434433959. The next prime is 420434434061.

420434434024 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×420434434024² (a number of 24 digits) contains 22 as substring.

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, 47829 + ... + 918235.

It is an arithmetic number, because the mean of its divisors is an integer number (18088166250).

Almost surely, 2^420434434024 is an apocalyptic number.

420434434024 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 420434434024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434115990000).

420434434024 is an abundant number, since it is smaller than the sum of its proper divisors (447797545976).

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

420434434024 is a wasteful number, since it uses less digits than its factorization.

420434434024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870934 (or 870919 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 420434 and 434024, that added together give a palindrome (854458).

The spelling of 420434434024 in words is "four hundred twenty billion, four hundred thirty-four million, four hundred thirty-four thousand, twenty-four".