38922368161440 has 192 divisors, whose sum is σ = 129837606514560. Its totient is φ = 9767241646080.

The previous prime is 38922368161429. The next prime is 38922368161447. The reversal of 38922368161440 is 4416186322983.

It is not an unprimeable number, because it can be changed into a prime (38922368161447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52911355 + ... + 53641925.

It is an arithmetic number, because the mean of its divisors is an integer number (676237533930).

Almost surely, 2^{38922368161440} is an apocalyptic number.

38922368161440 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 38922368161440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64918803257280).

38922368161440 is an abundant number, since it is smaller than the sum of its proper divisors (90915238353120).

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

38922368161440 is a wasteful number, since it uses less digits than its factorization.

38922368161440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737135 (or 737127 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 38922368161440 in words is "thirty-eight trillion, nine hundred twenty-two billion, three hundred sixty-eight million, one hundred sixty-one thousand, four hundred forty".