420214121412024 has 256 divisors, whose sum is σ = 1145850390720000. Its totient is φ = 127911657129984.

The previous prime is 420214121412011. The next prime is 420214121412139.

420214121412024 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 420214121411982 and 420214121412000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21735578262 + ... + 21735597594.

It is an arithmetic number, because the mean of its divisors is an integer number (4475978088750).

Almost surely, 2^{420214121412024} 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 420214121412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572925195360000).

420214121412024 is an abundant number, since it is smaller than the sum of its proper divisors (725636269307976).

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

420214121412024 is a wasteful number, since it uses less digits than its factorization.

420214121412024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22022 (or 22018 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 420214121412024 in words is "four hundred twenty trillion, two hundred fourteen billion, one hundred twenty-one million, four hundred twelve thousand, twenty-four".