420677822022600 has 192 divisors, whose sum is σ = 1312920092736000. Its totient is φ = 111422218567680.

The previous prime is 420677822022599. The next prime is 420677822022611. The reversal of 420677822022600 is 6220228776024.

It is a self number, because there is not a number n which added to its sum of digits gives 420677822022600.

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 47 ways as a sum of consecutive naturals, for example, 1942285512 + ... + 1942502088.

It is an arithmetic number, because the mean of its divisors is an integer number (6838125483000).

Almost surely, 2^{420677822022600} is an apocalyptic number.

420677822022600 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 420677822022600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656460046368000).

420677822022600 is an abundant number, since it is smaller than the sum of its proper divisors (892242270713400).

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

420677822022600 is a wasteful number, since it uses less digits than its factorization.

420677822022600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238472 (or 238463 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 420677822022600 in words is "four hundred twenty trillion, six hundred seventy-seven billion, eight hundred twenty-two million, twenty-two thousand, six hundred".