4161638901888 has 384 divisors, whose sum is σ = 13434668782080. Its totient is φ = 1274734485504.

The previous prime is 4161638901841. The next prime is 4161638901907. The reversal of 4161638901888 is 8881098361614.

4161638901888 is a `hidden beast` number, since 4 + 1 + 616 + 3 + 8 + 9 + 0 + 1 + 8 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90147420 + ... + 90193572.

It is an arithmetic number, because the mean of its divisors is an integer number (34986116620).

Almost surely, 2^{4161638901888} is an apocalyptic number.

4161638901888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161638901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6717334391040).

4161638901888 is an abundant number, since it is smaller than the sum of its proper divisors (9273029880192).

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

4161638901888 is a wasteful number, since it uses less digits than its factorization.

4161638901888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46418 (or 46394 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 4161638901888 in words is "four trillion, one hundred sixty-one billion, six hundred thirty-eight million, nine hundred one thousand, eight hundred eighty-eight".