4078966144 has 96 divisors (see below), whose sum is σ = 8979606720. Its totient is φ = 1844198400.

The previous prime is 4078966127. The next prime is 4078966159. The reversal of 4078966144 is 4416698704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3453234 + ... + 3454414.

It is an arithmetic number, because the mean of its divisors is an integer number (93537570).

Almost surely, 2^4078966144 is an apocalyptic number.

4078966144 is a gapful number since it is divisible by the number (44) 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 4078966144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489803360).

4078966144 is an abundant number, since it is smaller than the sum of its proper divisors (4900640576).

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

4078966144 is a wasteful number, since it uses less digits than its factorization.

4078966144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 49.

The square root of 4078966144 is about 63866.7843561894. The cubic root of 4078966144 is about 1597.7789683130.

The spelling of 4078966144 in words is "four billion, seventy-eight million, nine hundred sixty-six thousand, one hundred forty-four".