4160938470912 has 640 divisors, whose sum is σ = 13041521539200. Its totient is φ = 1324343623680.

The previous prime is 4160938470911. The next prime is 4160938470947. The reversal of 4160938470912 is 2190748390614.

4160938470912 is a `hidden beast` number, since 4 + 160 + 9 + 3 + 8 + 470 + 9 + 1 + 2 = 666.

It is a super-2 number, since 2×4160938470912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4160938470911) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3149839212 + ... + 3149840532.

It is an arithmetic number, because the mean of its divisors is an integer number (20377377405).

Almost surely, 2^{4160938470912} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4160938470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6520760769600).

4160938470912 is an abundant number, since it is smaller than the sum of its proper divisors (8880583068288).

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

4160938470912 is an frugal number, since it uses more digits than its factorization.

4160938470912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4160938470912 in words is "four trillion, one hundred sixty billion, nine hundred thirty-eight million, four hundred seventy thousand, nine hundred twelve".