4161738708288 has 168 divisors, whose sum is σ = 13634127273728. Its totient is φ = 1188969643008.

The previous prime is 4161738708271. The next prime is 4161738708341. The reversal of 4161738708288 is 8828078371614.

4161738708288 is a `hidden beast` number, since 4 + 1 + 617 + 3 + 8 + 7 + 0 + 8 + 2 + 8 + 8 = 666.

4161738708288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58561545 + ... + 58632567.

Almost surely, 2^{4161738708288} is an apocalyptic number.

4161738708288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4161738708288 is an abundant number, since it is smaller than the sum of its proper divisors (9472388565440).

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

4161738708288 is a wasteful number, since it uses less digits than its factorization.

4161738708288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85581 (or 85568 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 4161738708288 in words is "four trillion, one hundred sixty-one billion, seven hundred thirty-eight million, seven hundred eight thousand, two hundred eighty-eight".