420558662062080 has 1456 divisors, whose sum is σ = 1601768193392640. Its totient is φ = 105646502707200.

The previous prime is 420558662062069. The next prime is 420558662062087. The reversal of 420558662062080 is 80260266855024.

420558662062080 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 5 + 8 + 6 + 6 + 2 + 0 + 620 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420558662062087) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 51343990785 + ... + 51343998975.

It is an arithmetic number, because the mean of its divisors is an integer number (1100115517440).

Almost surely, 2^{420558662062080} is an apocalyptic number.

420558662062080 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 420558662062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800884096696320).

420558662062080 is an abundant number, since it is smaller than the sum of its proper divisors (1181209531330560).

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

420558662062080 is an equidigital number, since it uses as much as digits as its factorization.

420558662062080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 420558662062080 in words is "four hundred twenty trillion, five hundred fifty-eight billion, six hundred sixty-two million, sixty-two thousand, eighty".