420578002272 has 96 divisors (see below), whose sum is σ = 1122147395712. Its totient is φ = 137896602624.

The previous prime is 420578002267. The next prime is 420578002319. The reversal of 420578002272 is 272200875024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 420578002272.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4345188 + ... + 4440924.

It is an arithmetic number, because the mean of its divisors is an integer number (11689035372).

Almost surely, 2^420578002272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420578002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561073697856).

420578002272 is an abundant number, since it is smaller than the sum of its proper divisors (701569393440).

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

420578002272 is a wasteful number, since it uses less digits than its factorization.

420578002272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96500 (or 96492 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

Adding to 420578002272 its reverse (272200875024), we get a palindrome (692778877296).

The spelling of 420578002272 in words is "four hundred twenty billion, five hundred seventy-eight million, two thousand, two hundred seventy-two".