1330357815360 has 1176 divisors, whose sum is σ = 5768363286720. Its totient is φ = 286093099008.

The previous prime is 1330357815331. The next prime is 1330357815379. The reversal of 1330357815360 is 635187530331.

1330357815360 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 578 + 15 + 3 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 471924031 + ... + 471926849.

Almost surely, 2^{1330357815360} is an apocalyptic number.

1330357815360 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 1330357815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884181643360).

1330357815360 is an abundant number, since it is smaller than the sum of its proper divisors (4438005471360).

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

1330357815360 is an equidigital number, since it uses as much as digits as its factorization.

1330357815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 1330357815360 in words is "one trillion, three hundred thirty billion, three hundred fifty-seven million, eight hundred fifteen thousand, three hundred sixty".