420423324024 has 64 divisors (see below), whose sum is σ = 1154202612480. Its totient is φ = 126557280000.

The previous prime is 420423324023. The next prime is 420423324031.

420423324024 is nontrivially palindromic in base 10.

420423324024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 420423323982 and 420423324000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420423324023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5233357 + ... + 5313084.

It is an arithmetic number, because the mean of its divisors is an integer number (18034415820).

Almost surely, 2^420423324024 is an apocalyptic number.

420423324024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420423324024 is an abundant number, since it is smaller than the sum of its proper divisors (733779288456).

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

420423324024 is a wasteful number, since it uses less digits than its factorization.

420423324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10546612 (or 10546608 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 420423 and 324024, that added together give a palindrome (744447).

The spelling of 420423324024 in words is "four hundred twenty billion, four hundred twenty-three million, three hundred twenty-four thousand, twenty-four".