420342632600 has 192 divisors, whose sum is σ = 1090537344000. Its totient is φ = 149384614400.

The previous prime is 420342632581. The next prime is 420342632603. The reversal of 420342632600 is 6236243024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420342632603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22446041 + ... + 22464759.

It is an arithmetic number, because the mean of its divisors is an integer number (5679882000).

Almost surely, 2^420342632600 is an apocalyptic number.

420342632600 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 420342632600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545268672000).

420342632600 is an abundant number, since it is smaller than the sum of its proper divisors (670194711400).

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

420342632600 is a wasteful number, since it uses less digits than its factorization.

420342632600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18978 (or 18969 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 420342632600 its reverse (6236243024), we get a palindrome (426578875624).

The spelling of 420342632600 in words is "four hundred twenty billion, three hundred forty-two million, six hundred thirty-two thousand, six hundred".