420314131100 has 72 divisors (see below), whose sum is σ = 916819788528. Its totient is φ = 167253004800.

The previous prime is 420314131099. The next prime is 420314131103. The reversal of 420314131100 is 1131413024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420314131103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80873702 + ... + 80878898.

It is an arithmetic number, because the mean of its divisors is an integer number (12733608174).

Almost surely, 2^420314131100 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 420314131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458409894264).

420314131100 is an abundant number, since it is smaller than the sum of its proper divisors (496505657428).

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

420314131100 is a wasteful number, since it uses less digits than its factorization.

420314131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9255 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 420314131100 its reverse (1131413024), we get a palindrome (421445544124).

The spelling of 420314131100 in words is "four hundred twenty billion, three hundred fourteen million, one hundred thirty-one thousand, one hundred".