4166573809920 has 144 divisors (see below), whose sum is σ = 13885560404352. Its totient is φ = 1062778224640.

The previous prime is 4166573809903. The next prime is 4166573809973. The reversal of 4166573809920 is 299083756614.

It is a super-2 number, since 2×4166573809920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23499621 + ... + 23676260.

It is an arithmetic number, because the mean of its divisors is an integer number (96427502808).

It is a 1-persistent number, because it is pandigital, but 2⋅4166573809920 = 8333147619840 is not.

Almost surely, 2^{4166573809920} is an apocalyptic number.

4166573809920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4166573809920 is an abundant number, since it is smaller than the sum of its proper divisors (9718986594432).

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

4166573809920 is a wasteful number, since it uses less digits than its factorization.

4166573809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47175928 (or 47175914 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 60.

The spelling of 4166573809920 in words is "four trillion, one hundred sixty-six billion, five hundred seventy-three million, eight hundred nine thousand, nine hundred twenty".