1393141385328 has 480 divisors, whose sum is σ = 4695486136320. Its totient is φ = 348032678400.

The previous prime is 1393141385303. The next prime is 1393141385353. The reversal of 1393141385328 is 8235831413931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1393141385303) and next prime (1393141385353).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 210472803 + ... + 210479421.

It is an arithmetic number, because the mean of its divisors is an integer number (9782262784).

Almost surely, 2^{1393141385328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1393141385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347743068160).

1393141385328 is an abundant number, since it is smaller than the sum of its proper divisors (3302344750992).

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

1393141385328 is a wasteful number, since it uses less digits than its factorization.

1393141385328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6857 (or 6840 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The spelling of 1393141385328 in words is "one trillion, three hundred ninety-three billion, one hundred forty-one million, three hundred eighty-five thousand, three hundred twenty-eight".