402434420100 has 216 divisors, whose sum is σ = 1226500873920. Its totient is φ = 101687477760.

The previous prime is 402434420051. The next prime is 402434420117. The reversal of 402434420100 is 1024434204.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 81976446 + ... + 81981354.

Almost surely, 2^402434420100 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 402434420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613250436960).

402434420100 is an abundant number, since it is smaller than the sum of its proper divisors (824066453820).

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

402434420100 is a wasteful number, since it uses less digits than its factorization.

402434420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5051 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402434420100 its reverse (1024434204), we get a palindrome (403458854304).

The spelling of 402434420100 in words is "four hundred two billion, four hundred thirty-four million, four hundred twenty thousand, one hundred".