4452015052800 has 3456 divisors, whose sum is σ = 20866784440320. Its totient is φ = 917294284800.

The previous prime is 4452015052799. The next prime is 4452015052801. The reversal of 4452015052800 is 82505102544.

4452015052800 is a `hidden beast` number, since 4 + 4 + 520 + 1 + 5 + 0 + 52 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4452015052799) and next prime (4452015052801).

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4452015052801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 45897062352 + ... + 45897062448.

It is an arithmetic number, because the mean of its divisors is an integer number (6037842720).

Almost surely, 2^{4452015052800} is an apocalyptic number.

4452015052800 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 4452015052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10433392220160).

4452015052800 is an abundant number, since it is smaller than the sum of its proper divisors (16414769387520).

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

4452015052800 is a wasteful number, since it uses less digits than its factorization.

4452015052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 4452015052800 in words is "four trillion, four hundred fifty-two billion, fifteen million, fifty-two thousand, eight hundred".