420315513024 has 56 divisors (see below), whose sum is σ = 1213183418688. Its totient is φ = 127368336640.

The previous prime is 420315513011. The next prime is 420315513131.

420315513024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420315512982 and 420315513000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99504402 + ... + 99508625.

Almost surely, 2^420315513024 is an apocalyptic number.

420315513024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420315513024 is an abundant number, since it is smaller than the sum of its proper divisors (792867905664).

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

420315513024 is a wasteful number, since it uses less digits than its factorization.

420315513024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199013053 (or 199013043 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 420315 and 513024, that added together give a palindrome (933339).

The spelling of 420315513024 in words is "four hundred twenty billion, three hundred fifteen million, five hundred thirteen thousand, twenty-four".