1378171791360 has 2880 divisors, whose sum is σ = 6612836630400. Its totient is φ = 266588651520.

The previous prime is 1378171791307. The next prime is 1378171791377. The reversal of 1378171791360 is 631971718731.

1378171791360 is a `hidden beast` number, since 1 + 37 + 81 + 7 + 179 + 1 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a junction number, because it is equal to n+sod(n) for n = 1378171791297 and 1378171791306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 44457154545 + ... + 44457154575.

It is an arithmetic number, because the mean of its divisors is an integer number (2296123830).

Almost surely, 2^{1378171791360} is an apocalyptic number.

1378171791360 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 1378171791360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306418315200).

1378171791360 is an abundant number, since it is smaller than the sum of its proper divisors (5234664839040).

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

1378171791360 is a wasteful number, since it uses less digits than its factorization.

1378171791360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The spelling of 1378171791360 in words is "one trillion, three hundred seventy-eight billion, one hundred seventy-one million, seven hundred ninety-one thousand, three hundred sixty".