4052863584000 has 1728 divisors, whose sum is σ = 18301365089280. Its totient is φ = 836628480000.

The previous prime is 4052863583987. The next prime is 4052863584001. The reversal of 4052863584000 is 4853682504.

4052863584000 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 8 + 63 + 584 + 0 + 0 + 0 = 666.

4052863584000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4052863584001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3969503490 + ... + 3969504510.

It is an arithmetic number, because the mean of its divisors is an integer number (10591067760).

Almost surely, 2^{4052863584000} is an apocalyptic number.

4052863584000 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 4052863584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9150682544640).

4052863584000 is an abundant number, since it is smaller than the sum of its proper divisors (14248501505280).

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

4052863584000 is a wasteful number, since it uses less digits than its factorization.

4052863584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 4052863584000 in words is "four trillion, fifty-two billion, eight hundred sixty-three million, five hundred eighty-four thousand".