38441453661408 has 384 divisors, whose sum is σ = 126710589358080. Its totient is φ = 9949778657280.

The previous prime is 38441453661353. The next prime is 38441453661433. The reversal of 38441453661408 is 80416635414483.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1062164593 + ... + 1062200783.

It is an arithmetic number, because the mean of its divisors is an integer number (329975493120).

Almost surely, 2^{38441453661408} is an apocalyptic number.

38441453661408 is a gapful number since it is divisible by the number (38) 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 38441453661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63355294679040).

38441453661408 is an abundant number, since it is smaller than the sum of its proper divisors (88269135696672).

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

38441453661408 is a wasteful number, since it uses less digits than its factorization.

38441453661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39870 (or 39862 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 57.

The spelling of 38441453661408 in words is "thirty-eight trillion, four hundred forty-one billion, four hundred fifty-three million, six hundred sixty-one thousand, four hundred eight".