4004624160 has 144 divisors (see below), whose sum is σ = 13999298040. Its totient is φ = 1041838080.

The previous prime is 4004624137. The next prime is 4004624171. The reversal of 4004624160 is 614264004.

4004624160 is a `hidden beast` number, since 40 + 0 + 462 + 4 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2587553424 + 1417070736 = 50868^2 + 37644^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25126 + ... + 92954.

Almost surely, 2^4004624160 is an apocalyptic number.

4004624160 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 4004624160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6999649020).

4004624160 is an abundant number, since it is smaller than the sum of its proper divisors (9994673880).

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

4004624160 is a wasteful number, since it uses less digits than its factorization.

4004624160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67891 (or 67880 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4004624160 is about 63282.0998387380. The cubic root of 4004624160 is about 1588.0125161071.

Adding to 4004624160 its reverse (614264004), we get a palindrome (4618888164).

The spelling of 4004624160 in words is "four billion, four million, six hundred twenty-four thousand, one hundred sixty".