1378057273344 has 480 divisors, whose sum is σ = 4335100313600. Its totient is φ = 431414968320.

The previous prime is 1378057273297. The next prime is 1378057273403. The reversal of 1378057273344 is 4433727508731.

1378057273344 is a `hidden beast` number, since 1 + 37 + 8 + 0 + 572 + 7 + 3 + 34 + 4 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1067433339 + ... + 1067434629.

Almost surely, 2^{1378057273344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378057273344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2167550156800).

1378057273344 is an abundant number, since it is smaller than the sum of its proper divisors (2957043040256).

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

1378057273344 is a wasteful number, since it uses less digits than its factorization.

1378057273344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 1378057273344 in words is "one trillion, three hundred seventy-eight billion, fifty-seven million, two hundred seventy-three thousand, three hundred forty-four".