38481266880000 has 2400 divisors, whose sum is σ = 170050415648256. Its totient is φ = 8182259712000.

The previous prime is 38481266879933. The next prime is 38481266880061. The reversal of 38481266880000 is 8866218483.

38481266880000 is a `hidden beast` number, since 3 + 8 + 481 + 26 + 68 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 17156158879 + ... + 17156161121.

Almost surely, 2^{38481266880000} is an apocalyptic number.

38481266880000 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 38481266880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85025207824128).

38481266880000 is an abundant number, since it is smaller than the sum of its proper divisors (131569148768256).

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

38481266880000 is a wasteful number, since it uses less digits than its factorization.

38481266880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 38481266880000 in words is "thirty-eight trillion, four hundred eighty-one billion, two hundred sixty-six million, eight hundred eighty thousand".