1352560417440 has 48 divisors (see below), whose sum is σ = 4260565316448. Its totient is φ = 360682777856.

The previous prime is 1352560417427. The next prime is 1352560417451. The reversal of 1352560417440 is 447140652531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1352560417392 and 1352560417401.

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 7 ways as a sum of consecutive naturals, for example, 1408916622 + ... + 1408917581.

It is an arithmetic number, because the mean of its divisors is an integer number (88761777426).

Almost surely, 2^{1352560417440} is an apocalyptic number.

1352560417440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1352560417440 is an abundant number, since it is smaller than the sum of its proper divisors (2908004899008).

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

1352560417440 is a wasteful number, since it uses less digits than its factorization.

1352560417440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817834221 (or 2817834213 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 1352560417440 in words is "one trillion, three hundred fifty-two billion, five hundred sixty million, four hundred seventeen thousand, four hundred forty".