4164019928640 has 2016 divisors, whose sum is σ = 17910805610880. Its totient is φ = 914427740160.

The previous prime is 4164019928633. The next prime is 4164019928671. The reversal of 4164019928640 is 468299104614.

4164019928640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4164019928640² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7216672032 + ... + 7216672608.

It is an arithmetic number, because the mean of its divisors is an integer number (8884328180).

Almost surely, 2^{4164019928640} is an apocalyptic number.

4164019928640 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 4164019928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955402805440).

4164019928640 is an abundant number, since it is smaller than the sum of its proper divisors (13746785682240).

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

4164019928640 is a wasteful number, since it uses less digits than its factorization.

4164019928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 4164019928640 in words is "four trillion, one hundred sixty-four billion, nineteen million, nine hundred twenty-eight thousand, six hundred forty".