420413314024 has 32 divisors (see below), whose sum is σ = 866122941600. Its totient is φ = 189722157120.

The previous prime is 420413314021. The next prime is 420413314049.

420413314024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420413313983 and 420413314001.

It is not an unprimeable number, because it can be changed into a prime (420413314021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17172747 + ... + 17197210.

It is an arithmetic number, because the mean of its divisors is an integer number (27066341925).

Almost surely, 2^420413314024 is an apocalyptic number.

420413314024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

420413314024 is an abundant number, since it is smaller than the sum of its proper divisors (445709627576).

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

420413314024 is a wasteful number, since it uses less digits than its factorization.

420413314024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34370113 (or 34370109 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 420413 and 314024, that added together give a palindrome (734437).

The spelling of 420413314024 in words is "four hundred twenty billion, four hundred thirteen million, three hundred fourteen thousand, twenty-four".