420110145025200 has 720 divisors, whose sum is σ = 1671723390355200. Its totient is φ = 95705568921600.

The previous prime is 420110145025199. The next prime is 420110145025213. The reversal of 420110145025200 is 2520541011024.

It is a happy number.

420110145025200 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 1 + 0 + 1 + 450 + 2 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11519632566 + ... + 11519669034.

It is an arithmetic number, because the mean of its divisors is an integer number (2321838042160).

Almost surely, 2^{420110145025200} is an apocalyptic number.

420110145025200 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 420110145025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835861695177600).

420110145025200 is an abundant number, since it is smaller than the sum of its proper divisors (1251613245330000).

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

420110145025200 is a wasteful number, since it uses less digits than its factorization.

420110145025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38010 (or 37996 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 420110145025200 its reverse (2520541011024), we get a palindrome (422630686036224).

The spelling of 420110145025200 in words is "four hundred twenty trillion, one hundred ten billion, one hundred forty-five million, twenty-five thousand, two hundred".