4466167880000 has 140 divisors (see below), whose sum is σ = 11373963332292. Its totient is φ = 1738183680000.

The previous prime is 4466167879949. The next prime is 4466167880021. The reversal of 4466167880000 is 887616644.

It can be written as a sum of positive squares in 10 ways, for example, as 2973196695616 + 1492971184384 = 1724296^2 + 1221872^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28841 + ... + 2988840.

Almost surely, 2^{4466167880000} is an apocalyptic number.

4466167880000 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 4466167880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686981666146).

4466167880000 is an abundant number, since it is smaller than the sum of its proper divisors (6907795452292).

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

4466167880000 is an equidigital number, since it uses as much as digits as its factorization.

4466167880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017750 (or 3017725 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 4466167880000 in words is "four trillion, four hundred sixty-six billion, one hundred sixty-seven million, eight hundred eighty thousand".