420681351168 has 504 divisors, whose sum is σ = 1367946431488. Its totient is φ = 128421199872.

The previous prime is 420681351143. The next prime is 420681351197. The reversal of 420681351168 is 861153186024.

420681351168 is a `hidden beast` number, since 4 + 2 + 0 + 68 + 13 + 511 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3312451521 + ... + 3312451647.

Almost surely, 2^420681351168 is an apocalyptic number.

420681351168 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 420681351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683973215744).

420681351168 is an abundant number, since it is smaller than the sum of its proper divisors (947265080320).

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

420681351168 is an frugal number, since it uses more digits than its factorization.

420681351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 420681351168 in words is "four hundred twenty billion, six hundred eighty-one million, three hundred fifty-one thousand, one hundred sixty-eight".