1396493824128 has 256 divisors, whose sum is σ = 4022172201600. Its totient is φ = 426751819776.

The previous prime is 1396493824127. The next prime is 1396493824133. The reversal of 1396493824128 is 8214283946931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1396493824127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068472051 + ... + 1068473357.

Almost surely, 2^{1396493824128} 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 1396493824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011086100800).

1396493824128 is an abundant number, since it is smaller than the sum of its proper divisors (2625678377472).

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

1396493824128 is a wasteful number, since it uses less digits than its factorization.

1396493824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2627 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 60.

The spelling of 1396493824128 in words is "one trillion, three hundred ninety-six billion, four hundred ninety-three million, eight hundred twenty-four thousand, one hundred twenty-eight".