4078971072 has 336 divisors, whose sum is σ = 13871569920. Its totient is φ = 1132185600.

The previous prime is 4078971037. The next prime is 4078971097. The reversal of 4078971072 is 2701798704.

It is a happy 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 47 ways as a sum of consecutive naturals, for example, 3731358 + ... + 3732450.

Almost surely, 2^4078971072 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 4078971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935784960).

4078971072 is an abundant number, since it is smaller than the sum of its proper divisors (9792598848).

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

4078971072 is a wasteful number, since it uses less digits than its factorization.

4078971072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 4078971072 is about 63866.8229364824. The cubic root of 4078971072 is about 1597.7796117646.

The spelling of 4078971072 in words is "four billion, seventy-eight million, nine hundred seventy-one thousand, seventy-two".