42938201856 has 288 divisors, whose sum is σ = 130173039360. Its totient is φ = 12449382400.

The previous prime is 42938201851. The next prime is 42938201893. The reversal of 42938201856 is 65810283924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42938201851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18356335 + ... + 18358673.

It is an arithmetic number, because the mean of its divisors is an integer number (451989720).

Almost surely, 2^42938201856 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 42938201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65086519680).

42938201856 is an abundant number, since it is smaller than the sum of its proper divisors (87234837504).

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

42938201856 is a wasteful number, since it uses less digits than its factorization.

42938201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 42938201856 in words is "forty-two billion, nine hundred thirty-eight million, two hundred one thousand, eight hundred fifty-six".