4265395200 has 990 divisors, whose sum is σ = 18381843018. Its totient is φ = 973209600.

The previous prime is 4265395193. The next prime is 4265395201. The reversal of 4265395200 is 25935624.

4265395200 is a `hidden beast` number, since 4 + 2 + 65 + 395 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 642318336 + 3623076864 = 25344^2 + 60192^2 .

It is a tau number, because it is divible by the number of its divisors (990).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4265395201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 250905592 + ... + 250905608.

Almost surely, 2^4265395200 is an apocalyptic number.

4265395200 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 4265395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9190921509).

4265395200 is an abundant number, since it is smaller than the sum of its proper divisors (14116447818).

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

4265395200 is a wasteful number, since it uses less digits than its factorization.

4265395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4265395200 is about 65309.9931097837. The cubic root of 4265395200 is about 1621.7594053737.

The spelling of 4265395200 in words is "four billion, two hundred sixty-five million, three hundred ninety-five thousand, two hundred".