420342935004 has 96 divisors (see below), whose sum is σ = 1097471592000. Its totient is φ = 139127205888.

The previous prime is 420342935003. The next prime is 420342935039. The reversal of 420342935004 is 400539243024.

420342935004 is a `hidden beast` number, since 4 + 20 + 3 + 42 + 93 + 500 + 4 = 666.

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 420342935004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420342935003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15101452 + ... + 15129260.

It is an arithmetic number, because the mean of its divisors is an integer number (11431995750).

Almost surely, 2^420342935004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420342935004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548735796000).

420342935004 is an abundant number, since it is smaller than the sum of its proper divisors (677128656996).

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

420342935004 is a wasteful number, since it uses less digits than its factorization.

420342935004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28804 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 420342935004 in words is "four hundred twenty billion, three hundred forty-two million, nine hundred thirty-five thousand, four".