4178007794016 has 864 divisors, whose sum is σ = 14972739425280. Its totient is φ = 1141540936704.

The previous prime is 4178007794011. The next prime is 4178007794041. The reversal of 4178007794016 is 6104977008714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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 (4178007794011) 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 143 ways as a sum of consecutive naturals, for example, 831772881 + ... + 831777903.

It is an arithmetic number, because the mean of its divisors is an integer number (17329559520).

Almost surely, 2^{4178007794016} 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 4178007794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7486369712640).

4178007794016 is an abundant number, since it is smaller than the sum of its proper divisors (10794731631264).

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

4178007794016 is a wasteful number, since it uses less digits than its factorization.

4178007794016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5158 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 4178007794016 in words is "four trillion, one hundred seventy-eight billion, seven million, seven hundred ninety-four thousand, sixteen".