4212259104768 has 768 divisors, whose sum is σ = 13647365222400. Its totient is φ = 1138364252160.

The previous prime is 4212259104749. The next prime is 4212259104773. The reversal of 4212259104768 is 8674019522124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 4212259104768.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3427386778 + ... + 3427388006.

It is an arithmetic number, because the mean of its divisors is an integer number (17770006800).

Almost surely, 2^{4212259104768} is an apocalyptic number.

4212259104768 is a gapful number since it is divisible by the number (48) 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 4212259104768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6823682611200).

4212259104768 is an abundant number, since it is smaller than the sum of its proper divisors (9435106117632).

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

4212259104768 is a wasteful number, since it uses less digits than its factorization.

4212259104768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 4212259104768 in words is "four trillion, two hundred twelve billion, two hundred fifty-nine million, one hundred four thousand, seven hundred sixty-eight".