4201107696828 has 768 divisors, whose sum is σ = 13801553920000. Its totient is φ = 1100942938368.

The previous prime is 4201107696817. The next prime is 4201107696833. The reversal of 4201107696828 is 8286967011024.

It is a happy number.

4201107696828 is a `hidden beast` number, since 420 + 1 + 107 + 6 + 96 + 8 + 28 = 666.

It is a super-2 number, since 2×4201107696828² (a number of 26 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3843647850 + ... + 3843648942.

Almost surely, 2^{4201107696828} 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 4201107696828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900776960000).

4201107696828 is an abundant number, since it is smaller than the sum of its proper divisors (9600446223172).

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

4201107696828 is a wasteful number, since it uses less digits than its factorization.

4201107696828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4201107696828 in words is "four trillion, two hundred one billion, one hundred seven million, six hundred ninety-six thousand, eight hundred twenty-eight".