1393534340352 has 2304 divisors, whose sum is σ = 5798183731200. Its totient is φ = 319071191040.

The previous prime is 1393534340339. The next prime is 1393534340357. The reversal of 1393534340352 is 2530434353931.

1393534340352 is a `hidden beast` number, since 1 + 39 + 3 + 534 + 34 + 0 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a junction number, because it is equal to n+sod(n) for n = 1393534340298 and 1393534340307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393534340357) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12332162248 + ... + 12332162360.

It is an arithmetic number, because the mean of its divisors is an integer number (2516572800).

Almost surely, 2^{1393534340352} is an apocalyptic number.

1393534340352 is a gapful number since it is divisible by the number (12) 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 1393534340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899091865600).

1393534340352 is an abundant number, since it is smaller than the sum of its proper divisors (4404649390848).

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

1393534340352 is a wasteful number, since it uses less digits than its factorization.

1393534340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 1393534340352 in words is "one trillion, three hundred ninety-three billion, five hundred thirty-four million, three hundred forty thousand, three hundred fifty-two".