4398953180160 has 2112 divisors, whose sum is σ = 18823007250432. Its totient is φ = 856424448000.

The previous prime is 4398953180129. The next prime is 4398953180161. The reversal of 4398953180160 is 610813598934.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a self number, because there is not a number n which added to its sum of digits gives 4398953180160.

It is not an unprimeable number, because it can be changed into a prime (4398953180161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18252917640 + ... + 18252917880.

It is an arithmetic number, because the mean of its divisors is an integer number (8912408736).

Almost surely, 2^{4398953180160} is an apocalyptic number.

4398953180160 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 4398953180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411503625216).

4398953180160 is an abundant number, since it is smaller than the sum of its proper divisors (14424054070272).

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

4398953180160 is a wasteful number, since it uses less digits than its factorization.

4398953180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 4398953180160 in words is "four trillion, three hundred ninety-eight billion, nine hundred fifty-three million, one hundred eighty thousand, one hundred sixty".