4078447296 has 336 divisors, whose sum is σ = 14010071040. Its totient is φ = 1023897600.

The previous prime is 4078447267. The next prime is 4078447297. The reversal of 4078447296 is 6927448704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078447297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5040940 + ... + 5041748.

It is an arithmetic number, because the mean of its divisors is an integer number (41696640).

Almost surely, 2^4078447296 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 4078447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7005035520).

4078447296 is an abundant number, since it is smaller than the sum of its proper divisors (9931623744).

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

4078447296 is a wasteful number, since it uses less digits than its factorization.

4078447296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The square root of 4078447296 is about 63862.7222720736. The cubic root of 4078447296 is about 1597.7112191542.

The spelling of 4078447296 in words is "four billion, seventy-eight million, four hundred forty-seven thousand, two hundred ninety-six".