420240000000 has 704 divisors, whose sum is σ = 1496864918016. Its totient is φ = 104448000000.

The previous prime is 420239999987. The next prime is 420240000031. The reversal of 420240000000 is 42024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4079999949 + ... + 4080000051.

Almost surely, 2^420240000000 is an apocalyptic number.

420240000000 is a gapful number since it is divisible by the number (40) 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 420240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748432459008).

420240000000 is an abundant number, since it is smaller than the sum of its proper divisors (1076624918016).

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

420240000000 is an frugal number, since it uses more digits than its factorization.

420240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 420240000000 its reverse (42024), we get a palindrome (420240042024).

420240000000 divided by its reverse (42024) gives a 7-th power (10000000 = 10⁷).

The spelling of 420240000000 in words is "four hundred twenty billion, two hundred forty million", and thus it is an aban number.