1389390879744 has 1760 divisors, whose sum is σ = 5335772428800. Its totient is φ = 351151718400.

The previous prime is 1389390879731. The next prime is 1389390879781. The reversal of 1389390879744 is 4479780939831.

1389390879744 is a `hidden beast` number, since 1 + 38 + 9 + 390 + 87 + 97 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 13756345294 + ... + 13756345394.

It is an arithmetic number, because the mean of its divisors is an integer number (3031688880).

Almost surely, 2^{1389390879744} is an apocalyptic number.

1389390879744 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 1389390879744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2667886214400).

1389390879744 is an abundant number, since it is smaller than the sum of its proper divisors (3946381549056).

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

1389390879744 is a wasteful number, since it uses less digits than its factorization.

1389390879744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 1389390879744 in words is "one trillion, three hundred eighty-nine billion, three hundred ninety million, eight hundred seventy-nine thousand, seven hundred forty-four".