420652981248 has 352 divisors, whose sum is σ = 1223467991040. Its totient is φ = 128005816320.

The previous prime is 420652981193. The next prime is 420652981261. The reversal of 420652981248 is 842189256024.

It is a self number, because there is not a number n which added to its sum of digits gives 420652981248.

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 31 ways as a sum of consecutive naturals, for example, 693002961 + ... + 693003567.

Almost surely, 2^420652981248 is an apocalyptic number.

420652981248 is a gapful number since it is divisible by the number (48) 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 420652981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611733995520).

420652981248 is an abundant number, since it is smaller than the sum of its proper divisors (802815009792).

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

420652981248 is a wasteful number, since it uses less digits than its factorization.

420652981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 420652981248 in words is "four hundred twenty billion, six hundred fifty-two million, nine hundred eighty-one thousand, two hundred forty-eight".