4505636044800 has 2592 divisors, whose sum is σ = 20080741000320. Its totient is φ = 951268147200.

The previous prime is 4505636044799. The next prime is 4505636044807. The reversal of 4505636044800 is 84406365054.

4505636044800 is a `hidden beast` number, since 4 + 5 + 0 + 5 + 636 + 0 + 4 + 4 + 8 + 0 + 0 = 666.

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 (4505636044807) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 104782233579 + ... + 104782233621.

It is an arithmetic number, because the mean of its divisors is an integer number (7747199460).

Almost surely, 2^{4505636044800} is an apocalyptic number.

4505636044800 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 4505636044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040370500160).

4505636044800 is an abundant number, since it is smaller than the sum of its proper divisors (15575104955520).

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

4505636044800 is a wasteful number, since it uses less digits than its factorization.

4505636044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 4505636044800 in words is "four trillion, five hundred five billion, six hundred thirty-six million, forty-four thousand, eight hundred".