1305171438480 has 600 divisors, whose sum is σ = 5427403879872. Its totient is φ = 275346459648.

The previous prime is 1305171438437. The next prime is 1305171438523. The reversal of 1305171438480 is 848341715031.

1305171438480 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 171 + 438 + 48 + 0 = 666.

It is a Cunningham number, because it is equal to 1142441²-1.

It is an interprime number because it is at equal distance from previous prime (1305171438437) and next prime (1305171438523).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 143942907 + ... + 143951973.

Almost surely, 2^{1305171438480} is an apocalyptic number.

1305171438480 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 1305171438480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2713701939936).

1305171438480 is an abundant number, since it is smaller than the sum of its proper divisors (4122232441392).

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

1305171438480 is an equidigital number, since it uses as much as digits as its factorization.

1305171438480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9145 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 1305171438480 in words is "one trillion, three hundred five billion, one hundred seventy-one million, four hundred thirty-eight thousand, four hundred eighty".