38440672080000 has 1280 divisors, whose sum is σ = 135409391124480. Its totient is φ = 9644544000000.

The previous prime is 38440672079959. The next prime is 38440672080067. The reversal of 38440672080000 is 8027604483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73782479740 + ... + 73782480260.

It is an arithmetic number, because the mean of its divisors is an integer number (105788586816).

Almost surely, 2^{38440672080000} is an apocalyptic number.

38440672080000 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 38440672080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67704695562240).

38440672080000 is an abundant number, since it is smaller than the sum of its proper divisors (96968719044480).

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

38440672080000 is a wasteful number, since it uses less digits than its factorization.

38440672080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

Adding to 38440672080000 its reverse (8027604483), we get a palindrome (38448699684483).

The spelling of 38440672080000 in words is "thirty-eight trillion, four hundred forty billion, six hundred seventy-two million, eighty thousand".