420304042004 has 72 divisors (see below), whose sum is σ = 925973255424. Its totient is φ = 163400529600.

The previous prime is 420304041967. The next prime is 420304042121. The reversal of 420304042004 is 400240403024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1434674 + ... + 1702614.

Almost surely, 2^420304042004 is an apocalyptic number.

420304042004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420304042004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462986627712).

420304042004 is an abundant number, since it is smaller than the sum of its proper divisors (505669213420).

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

420304042004 is a wasteful number, since it uses less digits than its factorization.

420304042004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268437 (or 268424 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 23.

Adding to 420304042004 its reverse (400240403024), we get a palindrome (820544445028).

The spelling of 420304042004 in words is "four hundred twenty billion, three hundred four million, forty-two thousand, four".