420826683100 has 72 divisors (see below), whose sum is σ = 916323382800. Its totient is φ = 167754624000.

The previous prime is 420826683097. The next prime is 420826683113. The reversal of 420826683100 is 1386628024.

It is a super-2 number, since 2×420826683100² (a number of 24 digits) contains 22 as substring.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 49278631 + ... + 49287169.

It is an arithmetic number, because the mean of its divisors is an integer number (12726713650).

Almost surely, 2^420826683100 is an apocalyptic number.

It is an amenable number.

420826683100 is an abundant number, since it is smaller than the sum of its proper divisors (495496699700).

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

420826683100 is a wasteful number, since it uses less digits than its factorization.

420826683100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10183 (or 10176 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 420826683100 in words is "four hundred twenty billion, eight hundred twenty-six million, six hundred eighty-three thousand, one hundred".