1481884528320 has 1344 divisors, whose sum is σ = 6357327814656. Its totient is φ = 321411317760.

The previous prime is 1481884528259. The next prime is 1481884528409. The reversal of 1481884528320 is 238254881841.

1481884528320 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 8 + 84 + 528 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 894316932 + ... + 894318588.

It is an arithmetic number, because the mean of its divisors is an integer number (4730154624).

Almost surely, 2^{1481884528320} is an apocalyptic number.

1481884528320 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 1481884528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178663907328).

1481884528320 is an abundant number, since it is smaller than the sum of its proper divisors (4875443286336).

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

1481884528320 is a wasteful number, since it uses less digits than its factorization.

1481884528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 1481884528320 in words is "one trillion, four hundred eighty-one billion, eight hundred eighty-four million, five hundred twenty-eight thousand, three hundred twenty".