420660351866880 has 2304 divisors, whose sum is σ = 1577984033808000. Its totient is φ = 103450411008000.

The previous prime is 420660351866863. The next prime is 420660351866927. The reversal of 420660351866880 is 88668153066024.

It is a happy number.

420660351866880 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 603 + 5 + 18 + 6 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-4 number, since 4×420660351866880⁴ (a number of 60 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 971501967144 + ... + 971501967576.

Almost surely, 2^{420660351866880} is an apocalyptic number.

420660351866880 is a gapful number since it is divisible by the number (40) 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 420660351866880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788992016904000).

420660351866880 is an abundant number, since it is smaller than the sum of its proper divisors (1157323681941120).

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

420660351866880 is a wasteful number, since it uses less digits than its factorization.

420660351866880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 420660351866880 in words is "four hundred twenty trillion, six hundred sixty billion, three hundred fifty-one million, eight hundred sixty-six thousand, eight hundred eighty".