441166764182001 has 192 divisors, whose sum is σ = 788466799503360. Its totient is φ = 216183896248320.

The previous prime is 441166764181951. The next prime is 441166764182017. The reversal of 441166764182001 is 100281467661144.

It is not a de Polignac number, because 441166764182001 - 2²⁷ = 441166629964273 is a prime.

It is a super-2 number, since 2×441166764182001² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (441166764189001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77948490 + ... + 83416428.

It is an arithmetic number, because the mean of its divisors is an integer number (4106597914080).

Almost surely, 2^{441166764182001} is an apocalyptic number.

It is an amenable number.

441166764182001 is a deficient number, since it is larger than the sum of its proper divisors (347300035321359).

441166764182001 is a wasteful number, since it uses less digits than its factorization.

441166764182001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468056 (or 5468043 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 441166764182001 in words is "four hundred forty-one trillion, one hundred sixty-six billion, seven hundred sixty-four million, one hundred eighty-two thousand, one".