4159180455552 has 256 divisors, whose sum is σ = 13003176240000. Its totient is φ = 1304264982528.

The previous prime is 4159180455517. The next prime is 4159180455583. The reversal of 4159180455552 is 2555540819514.

4159180455552 is a `hidden beast` number, since 4 + 1 + 5 + 9 + 1 + 80 + 4 + 5 + 5 + 552 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 144456774 + ... + 144485562.

Almost surely, 2^{4159180455552} 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 4159180455552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6501588120000).

4159180455552 is an abundant number, since it is smaller than the sum of its proper divisors (8843995784448).

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

4159180455552 is a wasteful number, since it uses less digits than its factorization.

4159180455552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31288 (or 31270 counting only the distinct ones).

The product of its (nonzero) digits is 7200000, while the sum is 54.

The spelling of 4159180455552 in words is "four trillion, one hundred fifty-nine billion, one hundred eighty million, four hundred fifty-five thousand, five hundred fifty-two".