420099778688 has 72 divisors (see below), whose sum is σ = 852220667415. Its totient is φ = 206277064960.

The previous prime is 420099778639. The next prime is 420099778691. The reversal of 420099778688 is 886877990024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 210049889344 + 210049889344 = 458312^2 + 458312^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=458312.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 432646043 + ... + 432647013.

Almost surely, 2^420099778688 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 420099778688

420099778688 is an abundant number, since it is smaller than the sum of its proper divisors (432120888727).

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

420099778688 is an frugal number, since it uses more digits than its factorization.

420099778688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 68.

The spelling of 420099778688 in words is "four hundred twenty billion, ninety-nine million, seven hundred seventy-eight thousand, six hundred eighty-eight".