4171375992960 has 576 divisors, whose sum is σ = 15850538547480. Its totient is φ = 1010110464000.

The previous prime is 4171375992899. The next prime is 4171375993009. The reversal of 4171375992960 is 692995731714.

4171375992960 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 37 + 599 + 2 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4163460687936 + 7915305024 = 2040456^2 + 88968^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 739471740 + ... + 739477380.

Almost surely, 2^{4171375992960} is an apocalyptic number.

4171375992960 is a gapful number since it is divisible by the number (40) 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 4171375992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7925269273740).

4171375992960 is an abundant number, since it is smaller than the sum of its proper divisors (11679162554520).

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

4171375992960 is a wasteful number, since it uses less digits than its factorization.

4171375992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6749 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 63.

The spelling of 4171375992960 in words is "four trillion, one hundred seventy-one billion, three hundred seventy-five million, nine hundred ninety-two thousand, nine hundred sixty".