1380348684288 has 576 divisors, whose sum is σ = 5007031848000. Its totient is φ = 373614280704.

The previous prime is 1380348684277. The next prime is 1380348684313. The reversal of 1380348684288 is 8824868430831.

1380348684288 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 348 + 6 + 8 + 4 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1380348684288² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 51467170 + ... + 51493982.

It is an arithmetic number, because the mean of its divisors is an integer number (8692763625).

Almost surely, 2^{1380348684288} is an apocalyptic number.

1380348684288 is a gapful number since it is divisible by the number (18) 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 1380348684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503515924000).

1380348684288 is an abundant number, since it is smaller than the sum of its proper divisors (3626683163712).

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

1380348684288 is a wasteful number, since it uses less digits than its factorization.

1380348684288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26877 (or 26844 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 1380348684288 in words is "one trillion, three hundred eighty billion, three hundred forty-eight million, six hundred eighty-four thousand, two hundred eighty-eight".