420410444311312 has 320 divisors, whose sum is σ = 1014268727646720. Its totient is φ = 164379816640512.

The previous prime is 420410444311271. The next prime is 420410444311421. The reversal of 420410444311312 is 213113444014024.

It is a super-2 number, since 2×420410444311312² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48495836514 + ... + 48495845182.

It is an arithmetic number, because the mean of its divisors is an integer number (3169589773896).

Almost surely, 2^{420410444311312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420410444311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507134363823360).

420410444311312 is an abundant number, since it is smaller than the sum of its proper divisors (593858283335408).

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

420410444311312 is a wasteful number, since it uses less digits than its factorization.

420410444311312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9970 (or 9964 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 420410444311312 its reverse (213113444014024), we get a palindrome (633523888325336).

The spelling of 420410444311312 in words is "four hundred twenty trillion, four hundred ten billion, four hundred forty-four million, three hundred eleven thousand, three hundred twelve".