38960517024000 has 3456 divisors, whose sum is σ = 172417672627200. Its totient is φ = 8605605888000.

The previous prime is 38960517023993. The next prime is 38960517024043. The reversal of 38960517024000 is 42071506983.

38960517024000 is a `hidden beast` number, since 3 + 8 + 9 + 605 + 17 + 0 + 24 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 148138847869 + ... + 148138848131.

It is a 1-persistent number, because it is pandigital, but 2⋅38960517024000 = 77921034048000 is not.

Almost surely, 2^{38960517024000} is an apocalyptic number.

38960517024000 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 38960517024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86208836313600).

38960517024000 is an abundant number, since it is smaller than the sum of its proper divisors (133457155603200).

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

38960517024000 is a wasteful number, since it uses less digits than its factorization.

38960517024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38960517024000 in words is "thirty-eight trillion, nine hundred sixty billion, five hundred seventeen million, twenty-four thousand".