42248920896 has 896 divisors, whose sum is σ = 161238712320. Its totient is φ = 10682357760.

The previous prime is 42248920891. The next prime is 42248920913. The reversal of 42248920896 is 69802984224.

42248920896 is a `hidden beast` number, since 422 + 4 + 8 + 9 + 208 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42248920891) 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 127 ways as a sum of consecutive naturals, for example, 394849675 + ... + 394849781.

It is an arithmetic number, because the mean of its divisors is an integer number (179953920).

Almost surely, 2^42248920896 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 42248920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619356160).

42248920896 is an abundant number, since it is smaller than the sum of its proper divisors (118989791424).

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

42248920896 is a wasteful number, since it uses less digits than its factorization.

42248920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 42248920896 in words is "forty-two billion, two hundred forty-eight million, nine hundred twenty thousand, eight hundred ninety-six".