4265712000 has 384 divisors, whose sum is σ = 16718101920. Its totient is φ = 1033728000.

The previous prime is 4265711999. The next prime is 4265712001. The reversal of 4265712000 is 2175624.

4265712000 is a `hidden beast` number, since 4 + 2 + 657 + 1 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4265711999) and next prime (4265712001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4265712001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582654 + ... + 1585346.

Almost surely, 2^4265712000 is an apocalyptic number.

4265712000 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 4265712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8359050960).

4265712000 is an abundant number, since it is smaller than the sum of its proper divisors (12452389920).

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

4265712000 is a wasteful number, since it uses less digits than its factorization.

4265712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4265712000 is about 65312.4184210017. The cubic root of 4265712000 is about 1621.7995548899.

Adding to 4265712000 its reverse (2175624), we get a palindrome (4267887624).

The spelling of 4265712000 in words is "four billion, two hundred sixty-five million, seven hundred twelve thousand".