38993114419200 has 1872 divisors, whose sum is σ = 148454421058944. Its totient is φ = 9770316595200.

The previous prime is 38993114419163. The next prime is 38993114419229. The reversal of 38993114419200 is 291441139983.

38993114419200 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 3 + 1 + 14 + 419 + 200 = 666.

38993114419200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 167352422284 + ... + 167352422516.

It is an arithmetic number, because the mean of its divisors is an integer number (79302575352).

Almost surely, 2^{38993114419200} is an apocalyptic number.

38993114419200 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 38993114419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74227210529472).

38993114419200 is an abundant number, since it is smaller than the sum of its proper divisors (109461306639744).

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

38993114419200 is a wasteful number, since it uses less digits than its factorization.

38993114419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 38993114419200 in words is "thirty-eight trillion, nine hundred ninety-three billion, one hundred fourteen million, four hundred nineteen thousand, two hundred".