1480273829328 has 640 divisors, whose sum is σ = 4849061068800. Its totient is φ = 379655424000.

The previous prime is 1480273829257. The next prime is 1480273829479. The reversal of 1480273829328 is 8239283720841.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 127 ways as a sum of consecutive naturals, for example, 2058794953 + ... + 2058795671.

It is an arithmetic number, because the mean of its divisors is an integer number (7576657920).

Almost surely, 2^{1480273829328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480273829328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424530534400).

1480273829328 is an abundant number, since it is smaller than the sum of its proper divisors (3368787239472).

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

1480273829328 is a wasteful number, since it uses less digits than its factorization.

1480273829328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 1480273829328 in words is "one trillion, four hundred eighty billion, two hundred seventy-three million, eight hundred twenty-nine thousand, three hundred twenty-eight".