1386419777344 has 112 divisors (see below), whose sum is σ = 3248915706880. Its totient is φ = 574430330880.

The previous prime is 1386419777339. The next prime is 1386419777357. The reversal of 1386419777344 is 4437779146831.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13796272 + ... + 13896400.

Almost surely, 2^{1386419777344} is an apocalyptic number.

1386419777344 is a gapful number since it is divisible by the number (14) 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 1386419777344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624457853440).

1386419777344 is an abundant number, since it is smaller than the sum of its proper divisors (1862495929536).

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

1386419777344 is a wasteful number, since it uses less digits than its factorization.

1386419777344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101176 (or 101166 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 64.

The spelling of 1386419777344 in words is "one trillion, three hundred eighty-six billion, four hundred nineteen million, seven hundred seventy-seven thousand, three hundred forty-four".