420942051964512 has 288 divisors, whose sum is σ = 1339197912797472. Its totient is φ = 129296140959744.

The previous prime is 420942051964453. The next prime is 420942051964517. The reversal of 420942051964512 is 215469150249024.

It is a happy number.

420942051964512 is a `hidden beast` number, since 4 + 2 + 0 + 94 + 20 + 5 + 19 + 6 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×420942051964512² (a number of 30 digits) contains 22 as substring.

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 (420942051964517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54719358 + ... + 61936194.

It is an arithmetic number, because the mean of its divisors is an integer number (4649992752769).

Almost surely, 2^{420942051964512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420942051964512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669598956398736).

420942051964512 is an abundant number, since it is smaller than the sum of its proper divisors (918255860832960).

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

420942051964512 is a wasteful number, since it uses less digits than its factorization.

420942051964512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217452 (or 7217432 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 420942051964512 in words is "four hundred twenty trillion, nine hundred forty-two billion, fifty-one million, nine hundred sixty-four thousand, five hundred twelve".