4166521446144 has 288 divisors, whose sum is σ = 11896925725440. Its totient is φ = 1289858646016.

The previous prime is 4166521446097. The next prime is 4166521446163. The reversal of 4166521446144 is 4416441256614.

It is a super-2 number, since 2×4166521446144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 4166521446093 and 4166521446102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1201763899 + ... + 1201767365.

It is an arithmetic number, because the mean of its divisors is an integer number (41308769880).

Almost surely, 2^{4166521446144} 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 4166521446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948462862720).

4166521446144 is an abundant number, since it is smaller than the sum of its proper divisors (7730404279296).

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

4166521446144 is a wasteful number, since it uses less digits than its factorization.

4166521446144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695 (or 4681 counting only the distinct ones).

The product of its digits is 2211840, while the sum is 48.

The spelling of 4166521446144 in words is "four trillion, one hundred sixty-six billion, five hundred twenty-one million, four hundred forty-six thousand, one hundred forty-four".