4524442104000 has 448 divisors, whose sum is σ = 18387341586432. Its totient is φ = 954607104000.

The previous prime is 4524442103983. The next prime is 4524442104011. The reversal of 4524442104000 is 4012444254.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148185 + ... + 3219815.

It is an arithmetic number, because the mean of its divisors is an integer number (41043173184).

Almost surely, 2^{4524442104000} is an apocalyptic number.

4524442104000 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 4524442104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193670793216).

4524442104000 is an abundant number, since it is smaller than the sum of its proper divisors (13862899482432).

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

4524442104000 is a wasteful number, since it uses less digits than its factorization.

4524442104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071681 (or 2071661 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 4524442104000 its reverse (4012444254), we get a palindrome (4528454548254).

The spelling of 4524442104000 in words is "four trillion, five hundred twenty-four billion, four hundred forty-two million, one hundred four thousand".