4078916352 has 864 divisors, whose sum is σ = 16070745600. Its totient is φ = 1003290624.

The previous prime is 4078916339. The next prime is 4078916377. The reversal of 4078916352 is 2536198704.

4078916352 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 9 + 1 + 635 + 2 = 666.

4078916352 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×4078916352² = 33275117213225975808, which contains 22 as substring.

4078916352 is strictly pandigital in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4078916298 and 4078916307.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140652274 + ... + 140652302.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

It is a 1-persistent number, because it is pandigital, but 2⋅4078916352 = 8157832704 is not.

Almost surely, 2^4078916352 is an apocalyptic number.

4078916352 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 4078916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035372800).

4078916352 is an abundant number, since it is smaller than the sum of its proper divisors (11991829248).

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

4078916352 is a wasteful number, since it uses less digits than its factorization.

4078916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4078916352 is about 63866.3945436096. The cubic root of 4078916352 is about 1597.7724669161.

The spelling of 4078916352 in words is "four billion, seventy-eight million, nine hundred sixteen thousand, three hundred fifty-two".