4180169041920 has 288 divisors, whose sum is σ = 14496410073600. Its totient is φ = 1114042761216.

The previous prime is 4180169041891. The next prime is 4180169041921. The reversal of 4180169041920 is 291409610814.

It is a happy number.

4180169041920 is a `hidden beast` number, since 41 + 80 + 16 + 90 + 419 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (4180169041921) 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 23 ways as a sum of consecutive naturals, for example, 164308561 + ... + 164333999.

It is an arithmetic number, because the mean of its divisors is an integer number (50334757200).

Almost surely, 2^{4180169041920} is an apocalyptic number.

4180169041920 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 4180169041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248205036800).

4180169041920 is an abundant number, since it is smaller than the sum of its proper divisors (10316241031680).

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

4180169041920 is a wasteful number, since it uses less digits than its factorization.

4180169041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27255 (or 27232 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 4180169041920 in words is "four trillion, one hundred eighty billion, one hundred sixty-nine million, forty-one thousand, nine hundred twenty".