38845417121280 has 4000 divisors, whose sum is σ = 182433734306208. Its totient is φ = 7829382758400.

The previous prime is 38845417121233. The next prime is 38845417121327. The reversal of 38845417121280 is 8212171454883.

38845417121280 is a `hidden beast` number, since 3 + 8 + 8 + 4 + 5 + 417 + 1 + 212 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38845417121233) and next prime (38845417121327).

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

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 399 ways as a sum of consecutive naturals, for example, 224539983274 + ... + 224539983446.

Almost surely, 2^{38845417121280} is an apocalyptic number.

38845417121280 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 38845417121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91216867153104).

38845417121280 is an abundant number, since it is smaller than the sum of its proper divisors (143588317184928).

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

38845417121280 is an equidigital number, since it uses as much as digits as its factorization.

38845417121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 38845417121280 in words is "thirty-eight trillion, eight hundred forty-five billion, four hundred seventeen million, one hundred twenty-one thousand, two hundred eighty".