4078052352 has 528 divisors, whose sum is σ = 14113491840. Its totient is φ = 1159741440.

The previous prime is 4078052311. The next prime is 4078052353. The reversal of 4078052352 is 2532508704.

4078052352 is a `hidden beast` number, since 4 + 0 + 7 + 80 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4078052353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76944358 + ... + 76944410.

Almost surely, 2^4078052352 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 4078052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056745920).

4078052352 is an abundant number, since it is smaller than the sum of its proper divisors (10035439488).

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

4078052352 is a wasteful number, since it uses less digits than its factorization.

4078052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4078052352 is about 63859.6300646974. The cubic root of 4078052352 is about 1597.6596450475.

The spelling of 4078052352 in words is "four billion, seventy-eight million, fifty-two thousand, three hundred fifty-two".