4008825120 has 48 divisors (see below), whose sum is σ = 12627800640. Its totient is φ = 1069019904.

The previous prime is 4008825101. The next prime is 4008825127. The reversal of 4008825120 is 215288004.

4008825120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4008825127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4175380 + ... + 4176339.

It is an arithmetic number, because the mean of its divisors is an integer number (263079180).

Almost surely, 2^4008825120 is an apocalyptic number.

4008825120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4008825120 is an abundant number, since it is smaller than the sum of its proper divisors (8618975520).

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

4008825120 is a wasteful number, since it uses less digits than its factorization.

4008825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351737 (or 8351729 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 4008825120 is about 63315.2834629997. The cubic root of 4008825120 is about 1588.5676115337.

The spelling of 4008825120 in words is "four billion, eight million, eight hundred twenty-five thousand, one hundred twenty".