1396384375680 has 2304 divisors, whose sum is σ = 6289970319360. Its totient is φ = 294298583040.

The previous prime is 1396384375679. The next prime is 1396384375717. The reversal of 1396384375680 is 865734836931.

1396384375680 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 38 + 4 + 37 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5433402112 + ... + 5433402368.

It is an arithmetic number, because the mean of its divisors is an integer number (2730021840).

Almost surely, 2^{1396384375680} is an apocalyptic number.

1396384375680 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 1396384375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144985159680).

1396384375680 is an abundant number, since it is smaller than the sum of its proper divisors (4893585943680).

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

1396384375680 is a wasteful number, since it uses less digits than its factorization.

1396384375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1396384375680 in words is "one trillion, three hundred ninety-six billion, three hundred eighty-four million, three hundred seventy-five thousand, six hundred eighty".