1484328688240 has 80 divisors (see below), whose sum is σ = 3510035343360. Its totient is φ = 583588650240.

The previous prime is 1484328688237. The next prime is 1484328688307. The reversal of 1484328688240 is 428868234841.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1484328688240² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 44308777 + ... + 44342263.

It is an arithmetic number, because the mean of its divisors is an integer number (43875441792).

Almost surely, 2^{1484328688240} is an apocalyptic number.

1484328688240 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 1484328688240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755017671680).

1484328688240 is an abundant number, since it is smaller than the sum of its proper divisors (2025706655120).

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

1484328688240 is a wasteful number, since it uses less digits than its factorization.

1484328688240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42950 (or 42944 counting only the distinct ones).

The product of its (nonzero) digits is 18874368, while the sum is 58.

The spelling of 1484328688240 in words is "one trillion, four hundred eighty-four billion, three hundred twenty-eight million, six hundred eighty-eight thousand, two hundred forty".