4025756160 has 160 divisors (see below), whose sum is σ = 14300066880. Its totient is φ = 1073516544.

The previous prime is 4025756159. The next prime is 4025756173. The reversal of 4025756160 is 616575204.

It is a happy number.

4025756160 is a `hidden beast` number, since 40 + 2 + 57 + 561 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39999 + ... + 98241.

It is an arithmetic number, because the mean of its divisors is an integer number (89375418).

Almost surely, 2^4025756160 is an apocalyptic number.

4025756160 is a gapful number since it is divisible by the number (40) 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 4025756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150033440).

4025756160 is an abundant number, since it is smaller than the sum of its proper divisors (10274310720).

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

4025756160 is an equidigital number, since it uses as much as digits as its factorization.

4025756160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58275 (or 58253 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4025756160 is about 63448.8467980309. The cubic root of 4025756160 is about 1590.8008781273.

The spelling of 4025756160 in words is "four billion, twenty-five million, seven hundred fifty-six thousand, one hundred sixty".