1480865524320 has 384 divisors, whose sum is σ = 5792028125184. Its totient is φ = 309680308224.

The previous prime is 1480865524279. The next prime is 1480865524331. The reversal of 1480865524320 is 234255680841.

It is a super-2 number, since 2×1480865524320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1480865524320.

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 63 ways as a sum of consecutive naturals, for example, 4785829 + ... + 5085851.

It is an arithmetic number, because the mean of its divisors is an integer number (15083406576).

Almost surely, 2^{1480865524320} is an apocalyptic number.

1480865524320 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 1480865524320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2896014062592).

1480865524320 is an abundant number, since it is smaller than the sum of its proper divisors (4311162600864).

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

1480865524320 is a wasteful number, since it uses less digits than its factorization.

1480865524320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300174 (or 300166 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 1480865524320 in words is "one trillion, four hundred eighty billion, eight hundred sixty-five million, five hundred twenty-four thousand, three hundred twenty".