38693171024640 has 1296 divisors, whose sum is σ = 158256483630336. Its totient is φ = 8971836825600.

The previous prime is 38693171024621. The next prime is 38693171024653. The reversal of 38693171024640 is 4642017139683.

38693171024640 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 3 + 171 + 0 + 2 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×38693171024640² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2124705135 + ... + 2124723345.

Almost surely, 2^{38693171024640} is an apocalyptic number.

38693171024640 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 38693171024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79128241815168).

38693171024640 is an abundant number, since it is smaller than the sum of its proper divisors (119563312605696).

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

38693171024640 is an equidigital number, since it uses as much as digits as its factorization.

38693171024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18290 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38693171024640 in words is "thirty-eight trillion, six hundred ninety-three billion, one hundred seventy-one million, twenty-four thousand, six hundred forty".