42391804896 has 336 divisors, whose sum is σ = 149237835264. Its totient is φ = 11584311552.

The previous prime is 42391804891. The next prime is 42391804937. The reversal of 42391804896 is 69840819324.

42391804896 is a `hidden beast` number, since 423 + 91 + 8 + 0 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (42391804891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3750165 + ... + 3761451.

It is an arithmetic number, because the mean of its divisors is an integer number (444160224).

Almost surely, 2^42391804896 is an apocalyptic number.

42391804896 is a gapful number since it is divisible by the number (46) 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 42391804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74618917632).

42391804896 is an abundant number, since it is smaller than the sum of its proper divisors (106846030368).

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

42391804896 is a wasteful number, since it uses less digits than its factorization.

42391804896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11322 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 42391804896 in words is "forty-two billion, three hundred ninety-one million, eight hundred four thousand, eight hundred ninety-six".