420640402600 has 192 divisors, whose sum is σ = 1091141591040. Its totient is φ = 149493523200.

The previous prime is 420640402597. The next prime is 420640402619. The reversal of 420640402600 is 6204046024.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85095729 + ... + 85100671.

It is an arithmetic number, because the mean of its divisors is an integer number (5683029120).

Almost surely, 2^420640402600 is an apocalyptic number.

420640402600 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 420640402600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545570795520).

420640402600 is an abundant number, since it is smaller than the sum of its proper divisors (670501188440).

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

420640402600 is a wasteful number, since it uses less digits than its factorization.

420640402600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5831 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 420640402600 its reverse (6204046024), we get a palindrome (426844448624).

The spelling of 420640402600 in words is "four hundred twenty billion, six hundred forty million, four hundred two thousand, six hundred".