4289968858100 has 108 divisors (see below), whose sum is σ = 9961238218596. Its totient is φ = 1603256954880.

The previous prime is 4289968858099. The next prime is 4289968858121. The reversal of 4289968858100 is 18588699824.

It can be written as a sum of positive squares in 18 ways, for example, as 973876869904 + 3316091988196 = 986852^2 + 1821014^2 .

It is a super-2 number, since 2×4289968858100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3417542 + ... + 4501058.

Almost surely, 2^{4289968858100} 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 4289968858100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980619109298).

4289968858100 is an abundant number, since it is smaller than the sum of its proper divisors (5671269360496).

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

4289968858100 is a wasteful number, since it uses less digits than its factorization.

4289968858100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083702 (or 1083678 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 68.

The spelling of 4289968858100 in words is "four trillion, two hundred eighty-nine billion, nine hundred sixty-eight million, eight hundred fifty-eight thousand, one hundred".