1396381109760 has 1920 divisors, whose sum is σ = 6540115405824. Its totient is φ = 277099315200.

The previous prime is 1396381109731. The next prime is 1396381109789. The reversal of 1396381109760 is 679011836931.

It is a happy number.

1396381109760 is a `hidden beast` number, since 1 + 3 + 96 + 381 + 109 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1396381109731) and next prime (1396381109789).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1396381109697 and 1396381109706.

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 191 ways as a sum of consecutive naturals, for example, 962357035 + ... + 962358485.

Almost surely, 2^{1396381109760} is an apocalyptic number.

1396381109760 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 1396381109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270057702912).

1396381109760 is an abundant number, since it is smaller than the sum of its proper divisors (5143734296064).

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

1396381109760 is a wasteful number, since it uses less digits than its factorization.

1396381109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1396381109760 in words is "one trillion, three hundred ninety-six billion, three hundred eighty-one million, one hundred nine thousand, seven hundred sixty".