4017145466880 has 3120 divisors, whose sum is σ = 18804785091840. Its totient is φ = 801613283328.

The previous prime is 4017145466771. The next prime is 4017145466923. The reversal of 4017145466880 is 886645417104.

4017145466880 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 14 + 546 + 6 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3120).

It is a super-2 number, since 2×4017145466880² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 45136465876 + ... + 45136465964.

Almost surely, 2^{4017145466880} is an apocalyptic number.

4017145466880 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 4017145466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9402392545920).

4017145466880 is an abundant number, since it is smaller than the sum of its proper divisors (14787639624960).

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

4017145466880 is a wasteful number, since it uses less digits than its factorization.

4017145466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4017145466880 in words is "four trillion, seventeen billion, one hundred forty-five million, four hundred sixty-six thousand, eight hundred eighty".