1480918222080 has 1152 divisors, whose sum is σ = 6061437849600. Its totient is φ = 338610585600.

The previous prime is 1480918222033. The next prime is 1480918222097. The reversal of 1480918222080 is 802228190841.

1480918222080 is a `hidden beast` number, since 1 + 480 + 91 + 8 + 2 + 2 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3040899597 + ... + 3040900083.

It is an arithmetic number, because the mean of its divisors is an integer number (5261664800).

Almost surely, 2^{1480918222080} is an apocalyptic number.

1480918222080 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 1480918222080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030718924800).

1480918222080 is an abundant number, since it is smaller than the sum of its proper divisors (4580519627520).

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

1480918222080 is a wasteful number, since it uses less digits than its factorization.

1480918222080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 1480918222080 in words is "one trillion, four hundred eighty billion, nine hundred eighteen million, two hundred twenty-two thousand, eighty".