420824367600 has 1920 divisors, whose sum is σ = 1818550272000. Its totient is φ = 82504396800.

The previous prime is 420824367589. The next prime is 420824367629. The reversal of 420824367600 is 6763428024.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7132616371 + ... + 7132616429.

It is an arithmetic number, because the mean of its divisors is an integer number (947161600).

Almost surely, 2^420824367600 is an apocalyptic number.

420824367600 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 420824367600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909275136000).

420824367600 is an abundant number, since it is smaller than the sum of its proper divisors (1397725904400).

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

420824367600 is a wasteful number, since it uses less digits than its factorization.

420824367600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 420824367600 in words is "four hundred twenty billion, eight hundred twenty-four million, three hundred sixty-seven thousand, six hundred".