42246005760 has 704 divisors, whose sum is σ = 173323584000. Its totient is φ = 9558687744.

The previous prime is 42246005719. The next prime is 42246005773. The reversal of 42246005760 is 6750064224.

42246005760 is a `hidden beast` number, since 4 + 2 + 24 + 60 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144184174 + ... + 144184466.

Almost surely, 2^42246005760 is an apocalyptic number.

42246005760 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 42246005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86661792000).

42246005760 is an abundant number, since it is smaller than the sum of its proper divisors (131077578240).

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

42246005760 is a wasteful number, since it uses less digits than its factorization.

42246005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 42246005760 its reverse (6750064224), we get a palindrome (48996069984).

The spelling of 42246005760 in words is "forty-two billion, two hundred forty-six million, five thousand, seven hundred sixty".