42717339360 has 288 divisors, whose sum is σ = 152344063872. Its totient is φ = 11302986240.

The previous prime is 42717339349. The next prime is 42717339439. The reversal of 42717339360 is 6393371724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5089087 + ... + 5097473.

It is an arithmetic number, because the mean of its divisors is an integer number (528972444).

Almost surely, 2^42717339360 is an apocalyptic number.

42717339360 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 42717339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76172031936).

42717339360 is an abundant number, since it is smaller than the sum of its proper divisors (109626724512).

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

42717339360 is a wasteful number, since it uses less digits than its factorization.

42717339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8548 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 42717339360 in words is "forty-two billion, seven hundred seventeen million, three hundred thirty-nine thousand, three hundred sixty".