420368098896 has 400 divisors, whose sum is σ = 1296864138240. Its totient is φ = 131627306880.

The previous prime is 420368098889. The next prime is 420368098907. The reversal of 420368098896 is 698890863024.

420368098896 is a `hidden beast` number, since 420 + 36 + 8 + 0 + 98 + 8 + 96 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 975331801 + ... + 975332231.

Almost surely, 2^420368098896 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 420368098896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648432069120).

420368098896 is an abundant number, since it is smaller than the sum of its proper divisors (876496039344).

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

420368098896 is an equidigital number, since it uses as much as digits as its factorization.

420368098896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 420368098896 in words is "four hundred twenty billion, three hundred sixty-eight million, ninety-eight thousand, eight hundred ninety-six".