42564665440 has 96 divisors (see below), whose sum is σ = 109760222880. Its totient is φ = 15469670400.

The previous prime is 42564665419. The next prime is 42564665441. The reversal of 42564665440 is 4456646524.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564665441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3903516 + ... + 3914404.

It is an arithmetic number, because the mean of its divisors is an integer number (1143335655).

Almost surely, 2^42564665440 is an apocalyptic number.

42564665440 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 42564665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54880111440).

42564665440 is an abundant number, since it is smaller than the sum of its proper divisors (67195557440).

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

42564665440 is a wasteful number, since it uses less digits than its factorization.

42564665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13136 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 42564665440 in words is "forty-two billion, five hundred sixty-four million, six hundred sixty-five thousand, four hundred forty".