4251686119128 has 288 divisors, whose sum is σ = 13926204910800. Its totient is φ = 1211696817408.

The previous prime is 4251686119073. The next prime is 4251686119147. The reversal of 4251686119128 is 8219116861524.

4251686119128 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 6 + 8 + 611 + 9 + 12 + 8 = 666.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37760418 + ... + 37872846.

Almost surely, 2^{4251686119128} 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 4251686119128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963102455400).

4251686119128 is an abundant number, since it is smaller than the sum of its proper divisors (9674518791672).

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

4251686119128 is a wasteful number, since it uses less digits than its factorization.

4251686119128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112861 (or 112838 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 4251686119128 in words is "four trillion, two hundred fifty-one billion, six hundred eighty-six million, one hundred nineteen thousand, one hundred twenty-eight".