38118705805440 has 1536 divisors, whose sum is σ = 152521942809600. Its totient is φ = 9036781977600.

The previous prime is 38118705805403. The next prime is 38118705805441. The reversal of 38118705805440 is 4450850781183.

38118705805440 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 8 + 7 + 0 + 580 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38118705805441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6548477730 + ... + 6548483550.

It is an arithmetic number, because the mean of its divisors is an integer number (99298139850).

Almost surely, 2^{38118705805440} is an apocalyptic number.

38118705805440 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 38118705805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76260971404800).

38118705805440 is an abundant number, since it is smaller than the sum of its proper divisors (114403237004160).

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

38118705805440 is a wasteful number, since it uses less digits than its factorization.

38118705805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5988 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 38118705805440 in words is "thirty-eight trillion, one hundred eighteen billion, seven hundred five million, eight hundred five thousand, four hundred forty".