1378313549400 has 384 divisors, whose sum is σ = 4580963942400. Its totient is φ = 342212620800.

The previous prime is 1378313549399. The next prime is 1378313549443. The reversal of 1378313549400 is 49453138731.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1378313549400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51564439 + ... + 51591161.

It is an arithmetic number, because the mean of its divisors is an integer number (11929593600).

Almost surely, 2^{1378313549400} is an apocalyptic number.

1378313549400 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 1378313549400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290481971200).

1378313549400 is an abundant number, since it is smaller than the sum of its proper divisors (3202650393000).

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

1378313549400 is a wasteful number, since it uses less digits than its factorization.

1378313549400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26879 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1378313549400 in words is "one trillion, three hundred seventy-eight billion, three hundred thirteen million, five hundred forty-nine thousand, four hundred".