420175489968 has 400 divisors, whose sum is σ = 1382903676000. Its totient is φ = 122096885760.

The previous prime is 420175489849. The next prime is 420175490017. The reversal of 420175489968 is 869984571024.

420175489968 is a `hidden beast` number, since 4 + 20 + 1 + 7 + 548 + 9 + 9 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111717208 + ... + 111720968.

It is an arithmetic number, because the mean of its divisors is an integer number (3457259190).

Almost surely, 2^420175489968 is an apocalyptic number.

420175489968 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 420175489968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691451838000).

420175489968 is an abundant number, since it is smaller than the sum of its proper divisors (962728186032).

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

420175489968 is a wasteful number, since it uses less digits than its factorization.

420175489968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4147 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 420175489968 in words is "four hundred twenty billion, one hundred seventy-five million, four hundred eighty-nine thousand, nine hundred sixty-eight".