4056085152 has 288 divisors, whose sum is σ = 13875624000. Its totient is φ = 1149313536.

The previous prime is 4056085147. The next prime is 4056085153. The reversal of 4056085152 is 2515806504.

4056085152 is a `hidden beast` number, since 4 + 0 + 560 + 85 + 15 + 2 = 666.

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

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 (4056085153) 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, 6307743 + ... + 6308385.

It is an arithmetic number, because the mean of its divisors is an integer number (48179250).

Almost surely, 2^4056085152 is an apocalyptic number.

4056085152 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 4056085152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937812000).

4056085152 is an abundant number, since it is smaller than the sum of its proper divisors (9819538848).

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

4056085152 is a wasteful number, since it uses less digits than its factorization.

4056085152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 4056085152 is about 63687.4018311314. The cubic root of 4056085152 is about 1594.7857800697.

The spelling of 4056085152 in words is "four billion, fifty-six million, eighty-five thousand, one hundred fifty-two".