38430442785504 has 192 divisors, whose sum is σ = 125823565486080. Its totient is φ = 9977869125120.

The previous prime is 38430442785481. The next prime is 38430442785533. The reversal of 38430442785504 is 40558724403483.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17119807 + ... + 19234049.

It is an arithmetic number, because the mean of its divisors is an integer number (655331070240).

Almost surely, 2^{38430442785504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38430442785504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62911782743040).

38430442785504 is an abundant number, since it is smaller than the sum of its proper divisors (87393122700576).

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

38430442785504 is a wasteful number, since it uses less digits than its factorization.

38430442785504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116733 (or 2116725 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 57.

The spelling of 38430442785504 in words is "thirty-eight trillion, four hundred thirty billion, four hundred forty-two million, seven hundred eighty-five thousand, five hundred four".