1480417852032 has 256 divisors, whose sum is σ = 4994831635200. Its totient is φ = 422861451264.

The previous prime is 1480417852013. The next prime is 1480417852057. The reversal of 1480417852032 is 2302587140841.

1480417852032 is a `hidden beast` number, since 1 + 4 + 80 + 4 + 17 + 8 + 520 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132493998 + ... + 132505170.

It is an arithmetic number, because the mean of its divisors is an integer number (19511061075).

Almost surely, 2^{1480417852032} is an apocalyptic number.

1480417852032 is a gapful number since it is divisible by the number (12) 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 1480417852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2497415817600).

1480417852032 is an abundant number, since it is smaller than the sum of its proper divisors (3514413783168).

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

1480417852032 is a wasteful number, since it uses less digits than its factorization.

1480417852032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16680 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 1480417852032 in words is "one trillion, four hundred eighty billion, four hundred seventeen million, eight hundred fifty-two thousand, thirty-two".