1480313856000 has 1792 divisors, whose sum is σ = 6100427354112. Its totient is φ = 311427072000.

The previous prime is 1480313855981. The next prime is 1480313856037. The reversal of 1480313856000 is 6583130841.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×1480313856000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1480313856000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20278271964 + ... + 20278272036.

It is an arithmetic number, because the mean of its divisors is an integer number (3404256336).

Almost surely, 2^{1480313856000} is an apocalyptic number.

1480313856000 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 1480313856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050213677056).

1480313856000 is an abundant number, since it is smaller than the sum of its proper divisors (4620113498112).

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

1480313856000 is an equidigital number, since it uses as much as digits as its factorization.

1480313856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

Adding to 1480313856000 its reverse (6583130841), we get a palindrome (1486896986841).

The spelling of 1480313856000 in words is "one trillion, four hundred eighty billion, three hundred thirteen million, eight hundred fifty-six thousand".