420200441310 has 256 divisors, whose sum is σ = 1135723680000. Its totient is φ = 98787655680.

The previous prime is 420200441293. The next prime is 420200441329. The reversal of 420200441310 is 13144002024.

It is a super-2 number, since 2×420200441310² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 655538590 + ... + 655539230.

It is an arithmetic number, because the mean of its divisors is an integer number (4436420625).

Almost surely, 2^420200441310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420200441310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567861840000).

420200441310 is an abundant number, since it is smaller than the sum of its proper divisors (715523238690).

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

420200441310 is a wasteful number, since it uses less digits than its factorization.

420200441310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 420200441310 its reverse (13144002024), we get a palindrome (433344443334).

The spelling of 420200441310 in words is "four hundred twenty billion, two hundred million, four hundred forty-one thousand, three hundred ten".