420401253420225 has 288 divisors, whose sum is σ = 980774453917440. Its totient is φ = 167017455360000.

The previous prime is 420401253420223. The next prime is 420401253420229. The reversal of 420401253420225 is 522024352104024.

420401253420225 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 0 + 1 + 2 + 5 + 3 + 420 + 225 = 666.

It is not a de Polignac number, because 420401253420225 - 2¹ = 420401253420223 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 420401253420225.

It is not an unprimeable number, because it can be changed into a prime (420401253420223) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46602627 + ... + 54887223.

It is an arithmetic number, because the mean of its divisors is an integer number (3405466853880).

Almost surely, 2^{420401253420225} is an apocalyptic number.

420401253420225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420401253420225 is an abundant number, since it is smaller than the sum of its proper divisors (560373200497215).

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

420401253420225 is a wasteful number, since it uses less digits than its factorization.

420401253420225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8284761 (or 8284753 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The spelling of 420401253420225 in words is "four hundred twenty trillion, four hundred one billion, two hundred fifty-three million, four hundred twenty thousand, two hundred twenty-five".