1352960374320 has 240 divisors, whose sum is σ = 4720077520704. Its totient is φ = 347031552000.

The previous prime is 1352960374309. The next prime is 1352960374343. The reversal of 1352960374320 is 234730692531.

1352960374320 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 9 + 603 + 7 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1352960374320² (a number of 25 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1773160 + ... + 2418680.

Almost surely, 2^{1352960374320} is an apocalyptic number.

1352960374320 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 1352960374320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360038760352).

1352960374320 is an abundant number, since it is smaller than the sum of its proper divisors (3367117146384).

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

1352960374320 is a wasteful number, since it uses less digits than its factorization.

1352960374320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645652 (or 645643 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 1352960374320 in words is "one trillion, three hundred fifty-two billion, nine hundred sixty million, three hundred seventy-four thousand, three hundred twenty".