420044313200 has 120 divisors (see below), whose sum is σ = 1052110995408. Its totient is φ = 161013565440.

The previous prime is 420044313197. The next prime is 420044313203. The reversal of 420044313200 is 2313440024.

It is an interprime number because it is at equal distance from previous prime (420044313197) and next prime (420044313203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420044313203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 681212 + ... + 1141988.

Almost surely, 2^420044313200 is an apocalyptic number.

420044313200 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 420044313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526055497704).

420044313200 is an abundant number, since it is smaller than the sum of its proper divisors (632066682208).

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

420044313200 is a wasteful number, since it uses less digits than its factorization.

420044313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460891 (or 460880 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 420044313200 its reverse (2313440024), we get a palindrome (422357753224).

The spelling of 420044313200 in words is "four hundred twenty billion, forty-four million, three hundred thirteen thousand, two hundred".