1350305243460 has 144 divisors (see below), whose sum is σ = 4242997624320. Its totient is φ = 347234135040.

The previous prime is 1350305243407. The next prime is 1350305243473. The reversal of 1350305243460 is 643425030531.

1350305243460 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 305 + 2 + 4 + 346 + 0 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 1151596 + ... + 2006684.

It is an arithmetic number, because the mean of its divisors is an integer number (29465261280).

Almost surely, 2^{1350305243460} is an apocalyptic number.

1350305243460 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 1350305243460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121498812160).

1350305243460 is an abundant number, since it is smaller than the sum of its proper divisors (2892692380860).

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

1350305243460 is a wasteful number, since it uses less digits than its factorization.

1350305243460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855418 (or 855413 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 1350305243460 in words is "one trillion, three hundred fifty billion, three hundred five million, two hundred forty-three thousand, four hundred sixty".