420422224400 has 60 divisors (see below), whose sum is σ = 1029122264772. Its totient is φ = 164995883520.

The previous prime is 420422224301. The next prime is 420422224421. The reversal of 420422224400 is 4422224024.

It can be written as a sum of positive squares in 6 ways, for example, as 42010241296 + 378411983104 = 204964^2 + 615152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420422224400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9894419 + ... + 9936818.

Almost surely, 2^420422224400 is an apocalyptic number.

420422224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420422224400 is an abundant number, since it is smaller than the sum of its proper divisors (608700040372).

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

420422224400 is a wasteful number, since it uses less digits than its factorization.

420422224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19831308 (or 19831297 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 420422224400 its reverse (4422224024), we get a palindrome (424844448424).

The spelling of 420422224400 in words is "four hundred twenty billion, four hundred twenty-two million, two hundred twenty-four thousand, four hundred".