420433434100 has 72 divisors (see below), whose sum is σ = 927935530200. Its totient is φ = 165322014720.

The previous prime is 420433434079. The next prime is 420433434137. The reversal of 420433434100 is 1434334024.

It can be written as a sum of positive squares in 12 ways, for example, as 239344035984 + 181089398116 = 489228^2 + 425546^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299852 + ... + 1590748.

It is an arithmetic number, because the mean of its divisors is an integer number (12887993475).

Almost surely, 2^420433434100 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 420433434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463967765100).

420433434100 is an abundant number, since it is smaller than the sum of its proper divisors (507502096100).

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

420433434100 is a wasteful number, since it uses less digits than its factorization.

420433434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291157 (or 291150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 420433434100 its reverse (1434334024), we get a palindrome (421867768124).

The spelling of 420433434100 in words is "four hundred twenty billion, four hundred thirty-three million, four hundred thirty-four thousand, one hundred".