4160125440 has 320 divisors, whose sum is σ = 14917795200. Its totient is φ = 1098842112.

The previous prime is 4160125367. The next prime is 4160125441. The reversal of 4160125440 is 445210614.

4160125440 is a `hidden beast` number, since 4 + 1 + 601 + 2 + 54 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4160125441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9607464 + ... + 9607896.

It is an arithmetic number, because the mean of its divisors is an integer number (46618110).

Almost surely, 2^4160125440 is an apocalyptic number.

4160125440 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 4160125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7458897600).

4160125440 is an abundant number, since it is smaller than the sum of its proper divisors (10757669760).

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

4160125440 is a wasteful number, since it uses less digits than its factorization.

4160125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4160125440 is about 64499.0344113770. The cubic root of 4160125440 is about 1608.3064686526.

It can be divided in two parts, 4160 and 125440, that added together give a square (129600 = 360²).

The spelling of 4160125440 in words is "four billion, one hundred sixty million, one hundred twenty-five thousand, four hundred forty".