4004301155625 has 45 divisors (see below), whose sum is σ = 7227945503779. Its totient is φ = 2135547240000.

The previous prime is 4004301155599. The next prime is 4004301155639. The reversal of 4004301155625 is 5265511034004.

The square root of 4004301155625 is 2001075.

It is a perfect power (a square), and thus also a powerful number.

4004301155625 is a `hidden beast` number, since 40 + 0 + 4 + 30 + 11 + 556 + 25 = 666.

4004301155625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3708748007721 + 295553147904 = 1925811^2 + 543648^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 4004301155625 - 2¹³ = 4004301147433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4004301155625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 150067285 + ... + 150093965.

Almost surely, 2^{4004301155625} is an apocalyptic number.

4004301155625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4004301155625 is the 2001075-th square number.

4004301155625 is the 1000538-th centered octagonal number.

It is an amenable number.

4004301155625 is a deficient number, since it is larger than the sum of its proper divisors (3223644348154).

4004301155625 is an frugal number, since it uses more digits than its factorization.

4004301155625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53388 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 4004301155625 by its sum of digits (36), we get a square (144154841602500 = 12006450²).

Adding to 4004301155625 its reverse (5265511034004), we get a palindrome (9269812189629).

The spelling of 4004301155625 in words is "four trillion, four billion, three hundred one million, one hundred fifty-five thousand, six hundred twenty-five".