420300142002 has 96 divisors (see below), whose sum is σ = 1017812664960. Its totient is φ = 129222656640.

The previous prime is 420300141997. The next prime is 420300142013. The reversal of 420300142002 is 200241003024.

420300142002 is a `hidden beast` number, since 420 + 30 + 0 + 14 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8320899 + ... + 8371257.

It is an arithmetic number, because the mean of its divisors is an integer number (10602215260).

Almost surely, 2^420300142002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420300142002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508906332480).

420300142002 is an abundant number, since it is smaller than the sum of its proper divisors (597512522958).

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

420300142002 is a wasteful number, since it uses less digits than its factorization.

420300142002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51710 (or 51698 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 420300142002 its reverse (200241003024), we get a palindrome (620541145026).

The spelling of 420300142002 in words is "four hundred twenty billion, three hundred million, one hundred forty-two thousand, two".