38171033999040 has 448 divisors, whose sum is σ = 128753142755328. Its totient is φ = 9548051251200.

The previous prime is 38171033999011. The next prime is 38171033999041. The reversal of 38171033999040 is 4099933017183.

It is a super-2 number, since 2×38171033999040² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38171033999041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7059556017 + ... + 7059561423.

It is an arithmetic number, because the mean of its divisors is an integer number (287395407936).

Almost surely, 2^{38171033999040} is an apocalyptic number.

38171033999040 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 38171033999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64376571377664).

38171033999040 is an abundant number, since it is smaller than the sum of its proper divisors (90582108756288).

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

38171033999040 is a wasteful number, since it uses less digits than its factorization.

38171033999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6806 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 38171033999040 in words is "thirty-eight trillion, one hundred seventy-one billion, thirty-three million, nine hundred ninety-nine thousand, forty".