4010907425625 has 405 divisors, whose sum is σ = 8045740311609. Its totient is φ = 1998559332000.

The previous prime is 4010907425597. The next prime is 4010907425729. The reversal of 4010907425625 is 5265247090104.

The square root of 4010907425625 is 2002725.

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

4010907425625 is a `hidden beast` number, since 4 + 0 + 10 + 9 + 0 + 7 + 4 + 2 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 314455142169 + 3696452283456 = 560763^2 + 1922616^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is not a de Polignac number, because 4010907425625 - 2¹¹ = 4010907423577 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 93276916854 + ... + 93276916896.

Almost surely, 2^{4010907425625} is an apocalyptic number.

4010907425625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4010907425625 is the 2002725-th square number.

4010907425625 is the 1001363-rd centered octagonal number.

It is an amenable number.

4010907425625 is an abundant number, since it is smaller than the sum of its proper divisors (4034832885984).

4010907425625 is an frugal number, since it uses more digits than its factorization.

4010907425625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 4010907425625 in words is "four trillion, ten billion, nine hundred seven million, four hundred twenty-five thousand, six hundred twenty-five".