420044002000 has 80 divisors (see below), whose sum is σ = 1160761635072. Its totient is φ = 144015081600.

The previous prime is 420044001997. The next prime is 420044002033. The reversal of 420044002000 is 200440024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×420044002000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14987572 + ... + 15015571.

Almost surely, 2^420044002000 is an apocalyptic number.

420044002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420044002000 is an abundant number, since it is smaller than the sum of its proper divisors (740717633072).

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

420044002000 is a wasteful number, since it uses less digits than its factorization.

420044002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30003173 (or 30003157 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 420044002000 its reverse (200440024), we get a palindrome (420244442024).

The spelling of 420044002000 in words is "four hundred twenty billion, forty-four million, two thousand".