1378804937328 has 1440 divisors, whose sum is σ = 5439055003200. Its totient is φ = 321164476416.

The previous prime is 1378804937317. The next prime is 1378804937339. The reversal of 1378804937328 is 8237394088731.

1378804937328 is a `hidden beast` number, since 1 + 3 + 78 + 8 + 0 + 493 + 73 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1378804937317) and next prime (1378804937339).

It is a super-2 number, since 2×1378804937328² (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 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 287 ways as a sum of consecutive naturals, for example, 5125668778 + ... + 5125669046.

It is an arithmetic number, because the mean of its divisors is an integer number (3777121530).

Almost surely, 2^{1378804937328} is an apocalyptic number.

1378804937328 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 1378804937328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719527501600).

1378804937328 is an abundant number, since it is smaller than the sum of its proper divisors (4060250065872).

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

1378804937328 is a wasteful number, since it uses less digits than its factorization.

1378804937328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

It can be divided in two parts, 1378804 and 937328, that added together give a palindrome (2316132).

The spelling of 1378804937328 in words is "one trillion, three hundred seventy-eight billion, eight hundred four million, nine hundred thirty-seven thousand, three hundred twenty-eight".