420435534024 has 96 divisors (see below), whose sum is σ = 1242313431840. Its totient is φ = 127392652800.

The previous prime is 420435533993. The next prime is 420435534031.

420435534024 is a `hidden beast` number, since 4 + 2 + 0 + 43 + 553 + 40 + 24 = 666.

420435534024 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420435534024.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11958279 + ... + 11993385.

It is an arithmetic number, because the mean of its divisors is an integer number (12940764915).

Almost surely, 2^420435534024 is an apocalyptic number.

420435534024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420435534024 is an abundant number, since it is smaller than the sum of its proper divisors (821877897816).

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

420435534024 is a wasteful number, since it uses less digits than its factorization.

420435534024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50251 (or 50244 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 420435 and 534024, that added together give a palindrome (954459).

The spelling of 420435534024 in words is "four hundred twenty billion, four hundred thirty-five million, five hundred thirty-four thousand, twenty-four".