420309361680768 has 256 divisors, whose sum is σ = 1417988492736000. Its totient is φ = 120064811673600.

The previous prime is 420309361680673. The next prime is 420309361680809. The reversal of 420309361680768 is 867086163903024.

420309361680768 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 0 + 9 + 3 + 616 + 8 + 0 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121700403 + ... + 125106381.

It is an arithmetic number, because the mean of its divisors is an integer number (5539017549750).

Almost surely, 2^{420309361680768} is an apocalyptic number.

420309361680768 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 420309361680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708994246368000).

420309361680768 is an abundant number, since it is smaller than the sum of its proper divisors (997679131055232).

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

420309361680768 is a wasteful number, since it uses less digits than its factorization.

420309361680768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411110 (or 3411092 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 420309361680768 in words is "four hundred twenty trillion, three hundred nine billion, three hundred sixty-one million, six hundred eighty thousand, seven hundred sixty-eight".