1378957445760 has 128 divisors (see below), whose sum is σ = 4398618101760. Its totient is φ = 367455006720.

The previous prime is 1378957445743. The next prime is 1378957445777. The reversal of 1378957445760 is 675447598731.

It is an interprime number because it is at equal distance from previous prime (1378957445743) and next prime (1378957445777).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1378957445691 and 1378957445700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2391489 + ... + 2911551.

It is an arithmetic number, because the mean of its divisors is an integer number (34364203920).

Almost surely, 2^{1378957445760} is an apocalyptic number.

1378957445760 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 1378957445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199309050880).

1378957445760 is an abundant number, since it is smaller than the sum of its proper divisors (3019660656000).

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

1378957445760 is a wasteful number, since it uses less digits than its factorization.

1378957445760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521466 (or 521454 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 66.

The spelling of 1378957445760 in words is "one trillion, three hundred seventy-eight billion, nine hundred fifty-seven million, four hundred forty-five thousand, seven hundred sixty".