4079166883200 has 1152 divisors, whose sum is σ = 15535305676800. Its totient is φ = 1017623347200.

The previous prime is 4079166883199. The next prime is 4079166883201. The reversal of 4079166883200 is 23886619704.

It is an interprime number because it is at equal distance from previous prime (4079166883199) and next prime (4079166883201).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4079166883201) 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 143 ways as a sum of consecutive naturals, for example, 3189340161 + ... + 3189341439.

It is an arithmetic number, because the mean of its divisors is an integer number (13485508400).

Almost surely, 2^{4079166883200} is an apocalyptic number.

4079166883200 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 4079166883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767652838400).

4079166883200 is an abundant number, since it is smaller than the sum of its proper divisors (11456138793600).

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

4079166883200 is a wasteful number, since it uses less digits than its factorization.

4079166883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4079166883200 in words is "four trillion, seventy-nine billion, one hundred sixty-six million, eight hundred eighty-three thousand, two hundred".