4143006855936 has 288 divisors, whose sum is σ = 13198028856320. Its totient is φ = 1274385125376.

The previous prime is 4143006855917. The next prime is 4143006855943. The reversal of 4143006855936 is 6395586003414.

4143006855936 is a `hidden beast` number, since 4 + 1 + 43 + 0 + 0 + 6 + 8 + 5 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×4143006855936³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 480455721 + ... + 480464343.

Almost surely, 2^{4143006855936} 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 4143006855936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599014428160).

4143006855936 is an abundant number, since it is smaller than the sum of its proper divisors (9055022000384).

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

4143006855936 is a wasteful number, since it uses less digits than its factorization.

4143006855936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14008 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4143006855936 in words is "four trillion, one hundred forty-three billion, six million, eight hundred fifty-five thousand, nine hundred thirty-six".