38423043916800 has 528 divisors, whose sum is σ = 130775592987072. Its totient is φ = 9942220800000.

The previous prime is 38423043916783. The next prime is 38423043916847. The reversal of 38423043916800 is 861934032483.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059898675 + ... + 1059934925.

It is an arithmetic number, because the mean of its divisors is an integer number (247681047324).

Almost surely, 2^{38423043916800} is an apocalyptic number.

38423043916800 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 38423043916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65387796493536).

38423043916800 is an abundant number, since it is smaller than the sum of its proper divisors (92352549070272).

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

38423043916800 is a wasteful number, since it uses less digits than its factorization.

38423043916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36694 (or 36671 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 38423043916800 in words is "thirty-eight trillion, four hundred twenty-three billion, forty-three million, nine hundred sixteen thousand, eight hundred".