1484811328000 has 1920 divisors, whose sum is σ = 5229890265600. Its totient is φ = 417263616000.

The previous prime is 1484811327997. The next prime is 1484811328037. The reversal of 1484811328000 is 8231184841.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 34530495979 + ... + 34530496021.

It is an arithmetic number, because the mean of its divisors is an integer number (2723901180).

Almost surely, 2^{1484811328000} is an apocalyptic number.

1484811328000 is a gapful number since it is divisible by the number (10) 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 1484811328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614945132800).

1484811328000 is an abundant number, since it is smaller than the sum of its proper divisors (3745078937600).

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

1484811328000 is an equidigital number, since it uses as much as digits as its factorization.

1484811328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 1484811328000 in words is "one trillion, four hundred eighty-four billion, eight hundred eleven million, three hundred twenty-eight thousand".