4164371961120 has 720 divisors, whose sum is σ = 17201546607168. Its totient is φ = 945993323520.

The previous prime is 4164371961077. The next prime is 4164371961137. The reversal of 4164371961120 is 211691734614.

4164371961120 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 3 + 7 + 1 + 9 + 611 + 20 = 666.

4164371961120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 103491405 + ... + 103531635.

Almost surely, 2^{4164371961120} is an apocalyptic number.

4164371961120 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 4164371961120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600773303584).

4164371961120 is an abundant number, since it is smaller than the sum of its proper divisors (13037174646048).

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

4164371961120 is a wasteful number, since it uses less digits than its factorization.

4164371961120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40435 (or 40411 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 4164371961120 in words is "four trillion, one hundred sixty-four billion, three hundred seventy-one million, nine hundred sixty-one thousand, one hundred twenty".