1355333564640 has 576 divisors, whose sum is σ = 4868389370880. Its totient is φ = 316330291200.

The previous prime is 1355333564603. The next prime is 1355333564681. The reversal of 1355333564640 is 464653335531.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1355333564640.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 725940987 + ... + 725942853.

It is an arithmetic number, because the mean of its divisors is an integer number (8452064880).

Almost surely, 2^{1355333564640} is an apocalyptic number.

1355333564640 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 1355333564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434194685440).

1355333564640 is an abundant number, since it is smaller than the sum of its proper divisors (3513055806240).

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

1355333564640 is a wasteful number, since it uses less digits than its factorization.

1355333564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 48.

The spelling of 1355333564640 in words is "one trillion, three hundred fifty-five billion, three hundred thirty-three million, five hundred sixty-four thousand, six hundred forty".