4078080972 has 192 divisors, whose sum is σ = 13037552640. Its totient is φ = 1075756032.

The previous prime is 4078080961. The next prime is 4078080997. The reversal of 4078080972 is 2790808704.

4078080972 is a `hidden beast` number, since 407 + 80 + 80 + 97 + 2 = 666.

4078080972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 678163 + ... + 684149.

It is an arithmetic number, because the mean of its divisors is an integer number (67903920).

Almost surely, 2^4078080972 is an apocalyptic number.

4078080972 is a gapful number since it is divisible by the number (42) 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 4078080972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518776320).

4078080972 is an abundant number, since it is smaller than the sum of its proper divisors (8959471668).

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

4078080972 is a wasteful number, since it uses less digits than its factorization.

4078080972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6069 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 4078080972 is about 63859.8541495359. The cubic root of 4078080972 is about 1597.6633825270.

The spelling of 4078080972 in words is "four billion, seventy-eight million, eighty thousand, nine hundred seventy-two".