1396925257728 has 1536 divisors, whose sum is σ = 5477966807040. Its totient is φ = 304349184000.

The previous prime is 1396925257727. The next prime is 1396925257751. The reversal of 1396925257728 is 8277525296931.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396925257723) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3241125673 + ... + 3241126103.

It is an arithmetic number, because the mean of its divisors is an integer number (3566384640).

Almost surely, 2^{1396925257728} 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 1396925257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2738983403520).

1396925257728 is an abundant number, since it is smaller than the sum of its proper divisors (4081041549312).

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

1396925257728 is a wasteful number, since it uses less digits than its factorization.

1396925257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 66.

The spelling of 1396925257728 in words is "one trillion, three hundred ninety-six billion, nine hundred twenty-five million, two hundred fifty-seven thousand, seven hundred twenty-eight".