1385168400000 has 2304 divisors, whose sum is σ = 6563279923200. Its totient is φ = 271641600000.

The previous prime is 1385168399999. The next prime is 1385168400001. The reversal of 1385168400000 is 48615831.

1385168400000 is a `hidden beast` number, since 13 + 85 + 168 + 400 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1385168399999) and next prime (1385168400001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385168400001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5266799869 + ... + 5266800131.

It is an arithmetic number, because the mean of its divisors is an integer number (2848645800).

Almost surely, 2^{1385168400000} is an apocalyptic number.

1385168400000 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 1385168400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281639961600).

1385168400000 is an abundant number, since it is smaller than the sum of its proper divisors (5178111523200).

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

1385168400000 is a wasteful number, since it uses less digits than its factorization.

1385168400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1385168400000 in words is "one trillion, three hundred eighty-five billion, one hundred sixty-eight million, four hundred thousand".