441162177855168 has 448 divisors, whose sum is σ = 1502330522075136. Its totient is φ = 110882027520000.

The previous prime is 441162177855143. The next prime is 441162177855181. The reversal of 441162177855168 is 861558771261144.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 441162177855099 and 441162177855108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6806240296 + ... + 6806305112.

Almost surely, 2^{441162177855168} is an apocalyptic number.

441162177855168 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 441162177855168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751165261037568).

441162177855168 is an abundant number, since it is smaller than the sum of its proper divisors (1061168344219968).

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

441162177855168 is a wasteful number, since it uses less digits than its factorization.

441162177855168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79732 (or 79722 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 66.

The spelling of 441162177855168 in words is "four hundred forty-one trillion, one hundred sixty-two billion, one hundred seventy-seven million, eight hundred fifty-five thousand, one hundred sixty-eight".