420322011104 has 96 divisors (see below), whose sum is σ = 867804005376. Its totient is φ = 200021184000.

The previous prime is 420322011041. The next prime is 420322011163. The reversal of 420322011104 is 401110223024.

It is a super-2 number, since 2×420322011104² (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 15 ways as a sum of consecutive naturals, for example, 169688714 + ... + 169691190.

It is an arithmetic number, because the mean of its divisors is an integer number (9039625056).

Almost surely, 2^420322011104 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 420322011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433902002688).

420322011104 is an abundant number, since it is smaller than the sum of its proper divisors (447481994272).

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

420322011104 is a wasteful number, since it uses less digits than its factorization.

420322011104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 420322011104 its reverse (401110223024), we get a palindrome (821432234128).

The spelling of 420322011104 in words is "four hundred twenty billion, three hundred twenty-two million, eleven thousand, one hundred four".