4078059552 has 288 divisors, whose sum is σ = 14118354432. Its totient is φ = 1089994752.

The previous prime is 4078059529. The next prime is 4078059607. The reversal of 4078059552 is 2559508704.

4078059552 is a `hidden beast` number, since 4 + 0 + 7 + 8 + 0 + 595 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 4078059498 and 4078059507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8807673 + ... + 8808135.

It is an arithmetic number, because the mean of its divisors is an integer number (49022064).

Almost surely, 2^4078059552 is an apocalyptic number.

4078059552 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 4078059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059177216).

4078059552 is an abundant number, since it is smaller than the sum of its proper divisors (10040294880).

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

4078059552 is a wasteful number, since it uses less digits than its factorization.

4078059552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The square root of 4078059552 is about 63859.6864383157. The cubic root of 4078059552 is about 1597.6605852955.

The spelling of 4078059552 in words is "four billion, seventy-eight million, fifty-nine thousand, five hundred fifty-two".