1385144178432 has 288 divisors, whose sum is σ = 4455151325184. Its totient is φ = 373646131200.

The previous prime is 1385144178419. The next prime is 1385144178433. The reversal of 1385144178432 is 2348714415831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385144178433) by changing a digit.

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, 6731538 + ... + 6934254.

Almost surely, 2^{1385144178432} is an apocalyptic number.

1385144178432 is a gapful number since it is divisible by the number (12) 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 1385144178432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227575662592).

1385144178432 is an abundant number, since it is smaller than the sum of its proper divisors (3070007146752).

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

1385144178432 is a wasteful number, since it uses less digits than its factorization.

1385144178432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202815 (or 202801 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The spelling of 1385144178432 in words is "one trillion, three hundred eighty-five billion, one hundred forty-four million, one hundred seventy-eight thousand, four hundred thirty-two".