4382118092160 has 1280 divisors, whose sum is σ = 16929353548800. Its totient is φ = 1076254801920.

The previous prime is 4382118092141. The next prime is 4382118092227. The reversal of 4382118092160 is 612908112834.

4382118092160 is a `hidden beast` number, since 4 + 382 + 1 + 180 + 92 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10167327145 + ... + 10167327575.

It is an arithmetic number, because the mean of its divisors is an integer number (13226057460).

Almost surely, 2^{4382118092160} is an apocalyptic number.

4382118092160 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 4382118092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464676774400).

4382118092160 is an abundant number, since it is smaller than the sum of its proper divisors (12547235456640).

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

4382118092160 is a wasteful number, since it uses less digits than its factorization.

4382118092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 4382118092160 in words is "four trillion, three hundred eighty-two billion, one hundred eighteen million, ninety-two thousand, one hundred sixty".