1480065138720 has 672 divisors, whose sum is σ = 6008435822592. Its totient is φ = 337346021376.

The previous prime is 1480065138719. The next prime is 1480065138737. The reversal of 1480065138720 is 278315600841.

1480065138720 is a `hidden beast` number, since 1 + 480 + 0 + 65 + 13 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 312709474 + ... + 312714206.

It is an arithmetic number, because the mean of its divisors is an integer number (8941124736).

Almost surely, 2^{1480065138720} is an apocalyptic number.

1480065138720 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 1480065138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004217911296).

1480065138720 is an abundant number, since it is smaller than the sum of its proper divisors (4528370683872).

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

1480065138720 is an equidigital number, since it uses as much as digits as its factorization.

1480065138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5156 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1480065138720 in words is "one trillion, four hundred eighty billion, sixty-five million, one hundred thirty-eight thousand, seven hundred twenty".