420212444212024 has 128 divisors (see below), whose sum is σ = 831747020434560. Its totient is φ = 198633600000000.

The previous prime is 420212444211991. The next prime is 420212444212061.

420212444212024 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42441409474 + ... + 42441419374.

It is an arithmetic number, because the mean of its divisors is an integer number (6498023597145).

Almost surely, 2^{420212444212024} is an apocalyptic number.

It is an amenable number.

420212444212024 is a deficient number, since it is larger than the sum of its proper divisors (411534576222536).

420212444212024 is a wasteful number, since it uses less digits than its factorization.

420212444212024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13793 (or 13789 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 34.

The spelling of 420212444212024 in words is "four hundred twenty trillion, two hundred twelve billion, four hundred forty-four million, two hundred twelve thousand, twenty-four".