1378341982080 has 640 divisors, whose sum is σ = 5632472134080. Its totient is φ = 314659012608.

The previous prime is 1378341982033. The next prime is 1378341982151. The reversal of 1378341982080 is 802891438731.

It is a happy number.

1378341982080 is a `hidden beast` number, since 1 + 3 + 7 + 8 + 341 + 98 + 208 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×1378341982080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 374853202 + ... + 374856878.

Almost surely, 2^{1378341982080} is an apocalyptic number.

1378341982080 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 1378341982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816236067040).

1378341982080 is an abundant number, since it is smaller than the sum of its proper divisors (4254130152000).

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

1378341982080 is a wasteful number, since it uses less digits than its factorization.

1378341982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1378341982080 in words is "one trillion, three hundred seventy-eight billion, three hundred forty-one million, nine hundred eighty-two thousand, eighty".