1352440603760 has 80 divisors (see below), whose sum is σ = 3181694929920. Its totient is φ = 534571530240.

The previous prime is 1352440603757. The next prime is 1352440603819. The reversal of 1352440603760 is 673060442531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1352440603760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11783450 + ... + 11897670.

It is an arithmetic number, because the mean of its divisors is an integer number (39771186624).

Almost surely, 2^{1352440603760} is an apocalyptic number.

1352440603760 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 1352440603760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590847464960).

1352440603760 is an abundant number, since it is smaller than the sum of its proper divisors (1829254326160).

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

1352440603760 is a wasteful number, since it uses less digits than its factorization.

1352440603760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115986 (or 115980 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 1352440603760 in words is "one trillion, three hundred fifty-two billion, four hundred forty million, six hundred three thousand, seven hundred sixty".