38681449482240 has 576 divisors, whose sum is σ = 139637415153600. Its totient is φ = 10269858004992.

The previous prime is 38681449482209. The next prime is 38681449482289. The reversal of 38681449482240 is 4228494418683.

It is a happy number.

38681449482240 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 144 + 9 + 482 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569791339 + ... + 569859221.

It is an arithmetic number, because the mean of its divisors is an integer number (242426067975).

Almost surely, 2^{38681449482240} is an apocalyptic number.

38681449482240 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 38681449482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69818707576800).

38681449482240 is an abundant number, since it is smaller than the sum of its proper divisors (100955965671360).

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

38681449482240 is an equidigital number, since it uses as much as digits as its factorization.

38681449482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68154 (or 68122 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 38681449482240 in words is "thirty-eight trillion, six hundred eighty-one billion, four hundred forty-nine million, four hundred eighty-two thousand, two hundred forty".