1480163328000 has 1216 divisors, whose sum is σ = 6281377689600. Its totient is φ = 336907468800.

The previous prime is 1480163327977. The next prime is 1480163328023. The reversal of 1480163328000 is 8233610841.

1480163328000 is a `hidden beast` number, since 14 + 8 + 0 + 1 + 633 + 2 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1480163327977) and next prime (1480163328023).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6193151881 + ... + 6193152119.

Almost surely, 2^{1480163328000} is an apocalyptic number.

1480163328000 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 1480163328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140688844800).

1480163328000 is an abundant number, since it is smaller than the sum of its proper divisors (4801214361600).

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

1480163328000 is an frugal number, since it uses more digits than its factorization.

1480163328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 1480163328000 its reverse (8233610841), we get a palindrome (1488396938841).

The spelling of 1480163328000 in words is "one trillion, four hundred eighty billion, one hundred sixty-three million, three hundred twenty-eight thousand".