4115864025 has 243 divisors, whose sum is σ = 9487735101. Its totient is φ = 1699850880.

The previous prime is 4115863993. The next prime is 4115864059. The reversal of 4115864025 is 5204685114.

It is a happy number.

The square root of 4115864025 is 64155.

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

4115864025 is a `hidden beast` number, since 4 + 1 + 1 + 5 + 8 + 640 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1060870041 + 3054993984 = 32571^2 + 55272^2 .

It is not a de Polignac number, because 4115864025 - 2⁵ = 4115863993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 87571552 + ... + 87571598.

Almost surely, 2^4115864025 is an apocalyptic number.

4115864025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4115864025 is the 64155-th square number.

4115864025 is the 32078-th centered octagonal number.

It is an amenable number.

4115864025 is an abundant number, since it is smaller than the sum of its proper divisors (5371871076).

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

4115864025 is a wasteful number, since it uses less digits than its factorization.

4115864025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The cubic root of 4115864025 is about 1602.5822917024.

Multiplying 4115864025 by its sum of digits (36), we get a square (148171104900 = 384930²).

The spelling of 4115864025 in words is "four billion, one hundred fifteen million, eight hundred sixty-four thousand, twenty-five".