38824563042000 has 960 divisors, whose sum is σ = 147277369145088. Its totient is φ = 9493770240000.

The previous prime is 38824563041987. The next prime is 38824563042037. The reversal of 38824563042000 is 24036542883.

38824563042000 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 4 + 5 + 630 + 4 + 2 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12182164407 + ... + 12182167593.

Almost surely, 2^{38824563042000} is an apocalyptic number.

38824563042000 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 38824563042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73638684572544).

38824563042000 is an abundant number, since it is smaller than the sum of its proper divisors (108452806103088).

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

38824563042000 is a wasteful number, since it uses less digits than its factorization.

38824563042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245 (or 4226 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 38824563042000 its reverse (24036542883), we get a palindrome (38848599584883).

The spelling of 38824563042000 in words is "thirty-eight trillion, eight hundred twenty-four billion, five hundred sixty-three million, forty-two thousand".