1385312544000 has 2160 divisors, whose sum is σ = 6486188636928. Its totient is φ = 287400960000.

The previous prime is 1385312543971. The next prime is 1385312544019. The reversal of 1385312544000 is 4452135831.

1385312544000 is a `hidden beast` number, since 1 + 3 + 85 + 31 + 2 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2195423685 + ... + 2195424315.

Almost surely, 2^{1385312544000} is an apocalyptic number.

1385312544000 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 1385312544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243094318464).

1385312544000 is an abundant number, since it is smaller than the sum of its proper divisors (5100876092928).

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

1385312544000 is an equidigital number, since it uses as much as digits as its factorization.

1385312544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 1385312544000 its reverse (4452135831), we get a palindrome (1389764679831).

The spelling of 1385312544000 in words is "one trillion, three hundred eighty-five billion, three hundred twelve million, five hundred forty-four thousand".