4440167700160 has 224 divisors, whose sum is σ = 11023713792000. Its totient is φ = 1701397770240.

The previous prime is 4440167700109. The next prime is 4440167700161. The reversal of 4440167700160 is 610077610444.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4440167700161) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 643592391 + ... + 643599289.

It is an arithmetic number, because the mean of its divisors is an integer number (49213008000).

Almost surely, 2^{4440167700160} is an apocalyptic number.

4440167700160 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 4440167700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511856896000).

4440167700160 is an abundant number, since it is smaller than the sum of its proper divisors (6583546091840).

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

4440167700160 is a wasteful number, since it uses less digits than its factorization.

4440167700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 4440167700160 in words is "four trillion, four hundred forty billion, one hundred sixty-seven million, seven hundred thousand, one hundred sixty".