4052505600 has 1056 divisors, whose sum is σ = 17910103680. Its totient is φ = 884736000.

The previous prime is 4052505563. The next prime is 4052505643. The reversal of 4052505600 is 65052504.

4052505600 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 50 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98841580 + ... + 98841620.

Almost surely, 2^4052505600 is an apocalyptic number.

4052505600 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 4052505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8955051840).

4052505600 is an abundant number, since it is smaller than the sum of its proper divisors (13857598080).

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

4052505600 is a wasteful number, since it uses less digits than its factorization.

4052505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 4052505600 is about 63659.2931157738. The cubic root of 4052505600 is about 1594.3165017261.

The spelling of 4052505600 in words is "four billion, fifty-two million, five hundred five thousand, six hundred".