424014202100 has 72 divisors (see below), whose sum is σ = 951322054200. Its totient is φ = 163914001920.

The previous prime is 424014202091. The next prime is 424014202103. The reversal of 424014202100 is 1202410424.

It can be written as a sum of positive squares in 12 ways, for example, as 132010142224 + 292004059876 = 363332^2 + 540374^2 .

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 (424014202103) 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, 166742 + ... + 935858.

Almost surely, 2^424014202100 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 424014202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475661027100).

424014202100 is an abundant number, since it is smaller than the sum of its proper divisors (527307852100).

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

424014202100 is a wasteful number, since it uses less digits than its factorization.

424014202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769317 (or 769310 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 424014202100 its reverse (1202410424), we get a palindrome (425216612524).

The spelling of 424014202100 in words is "four hundred twenty-four billion, fourteen million, two hundred two thousand, one hundred".