420340855200 has 432 divisors, whose sum is σ = 1593304521984. Its totient is φ = 95974502400.

The previous prime is 420340855133. The next prime is 420340855219. The reversal of 420340855200 is 2558043024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184278060 + ... + 184280340.

It is an arithmetic number, because the mean of its divisors is an integer number (3688204912).

Almost surely, 2^420340855200 is an apocalyptic number.

420340855200 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 420340855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796652260992).

420340855200 is an abundant number, since it is smaller than the sum of its proper divisors (1172963666784).

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

420340855200 is a wasteful number, since it uses less digits than its factorization.

420340855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 420340855200 its reverse (2558043024), we get a palindrome (422898898224).

The spelling of 420340855200 in words is "four hundred twenty billion, three hundred forty million, eight hundred fifty-five thousand, two hundred".