42068389440 has 1008 divisors, whose sum is σ = 180233726400. Its totient is φ = 8260116480.

The previous prime is 42068389399. The next prime is 42068389523. The reversal of 42068389440 is 4498386024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42068389440.

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 143 ways as a sum of consecutive naturals, for example, 108144766 + ... + 108145154.

It is an arithmetic number, because the mean of its divisors is an integer number (178803300).

Almost surely, 2^42068389440 is an apocalyptic number.

42068389440 is a gapful number since it is divisible by the number (40) 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 42068389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90116863200).

42068389440 is an abundant number, since it is smaller than the sum of its proper divisors (138165336960).

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

42068389440 is a wasteful number, since it uses less digits than its factorization.

42068389440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 42068389440 in words is "forty-two billion, sixty-eight million, three hundred eighty-nine thousand, four hundred forty".