38141463360000 has 3200 divisors, whose sum is σ = 179540408678400. Its totient is φ = 6927482880000.

The previous prime is 38141463359957. The next prime is 38141463360037. The reversal of 38141463360000 is 6336414183.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18258238956 + ... + 18258241044.

It is an arithmetic number, because the mean of its divisors is an integer number (56106377712).

Almost surely, 2^{38141463360000} is an apocalyptic number.

38141463360000 is a gapful number since it is divisible by the number (30) 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 38141463360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89770204339200).

38141463360000 is an abundant number, since it is smaller than the sum of its proper divisors (141398945318400).

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

38141463360000 is a wasteful number, since it uses less digits than its factorization.

38141463360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

Adding to 38141463360000 its reverse (6336414183), we get a palindrome (38147799774183).

The spelling of 38141463360000 in words is "thirty-eight trillion, one hundred forty-one billion, four hundred sixty-three million, three hundred sixty thousand".