38444962519040 has 384 divisors, whose sum is σ = 115643059983360. Its totient is φ = 11916597657600.

The previous prime is 38444962519037. The next prime is 38444962519057. The reversal of 38444962519040 is 4091526944483.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 142580189 + ... + 142849571.

It is an arithmetic number, because the mean of its divisors is an integer number (301153802040).

Almost surely, 2^{38444962519040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38444962519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57821529991680).

38444962519040 is an abundant number, since it is smaller than the sum of its proper divisors (77198097464320).

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

38444962519040 is a wasteful number, since it uses less digits than its factorization.

38444962519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269609 (or 269589 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 59.

The spelling of 38444962519040 in words is "thirty-eight trillion, four hundred forty-four billion, nine hundred sixty-two million, five hundred nineteen thousand, forty".