1378831113920 has 448 divisors, whose sum is σ = 3737862374400. Its totient is φ = 480882769920.

The previous prime is 1378831113901. The next prime is 1378831113977. The reversal of 1378831113920 is 293111388731.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2185152005 + ... + 2185152635.

It is an arithmetic number, because the mean of its divisors is an integer number (8343442800).

Almost surely, 2^{1378831113920} is an apocalyptic number.

1378831113920 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 1378831113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868931187200).

1378831113920 is an abundant number, since it is smaller than the sum of its proper divisors (2359031260480).

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

1378831113920 is a wasteful number, since it uses less digits than its factorization.

1378831113920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 47.

The spelling of 1378831113920 in words is "one trillion, three hundred seventy-eight billion, eight hundred thirty-one million, one hundred thirteen thousand, nine hundred twenty".