420404045200 has 120 divisors (see below), whose sum is σ = 1035411229440. Its totient is φ = 163940275200.

The previous prime is 420404045183. The next prime is 420404045221. The reversal of 420404045200 is 2540404024.

It is a happy number.

It is a super-2 number, since 2×420404045200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 24378181 + ... + 24395419.

It is an arithmetic number, because the mean of its divisors is an integer number (8628426912).

Almost surely, 2^420404045200 is an apocalyptic number.

420404045200 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 420404045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517705614720).

420404045200 is an abundant number, since it is smaller than the sum of its proper divisors (615007184240).

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

420404045200 is a wasteful number, since it uses less digits than its factorization.

420404045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18785 (or 18774 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 25.

Adding to 420404045200 its reverse (2540404024), we get a palindrome (422944449224).

The spelling of 420404045200 in words is "four hundred twenty billion, four hundred four million, forty-five thousand, two hundred".