42217076720 has 160 divisors (see below), whose sum is σ = 121019337600. Its totient is φ = 13337395200.

The previous prime is 42217076711. The next prime is 42217076723. The reversal of 42217076720 is 2767071224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42217076723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4370456 + ... + 4380104.

It is an arithmetic number, because the mean of its divisors is an integer number (756370860).

Almost surely, 2^42217076720 is an apocalyptic number.

42217076720 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 42217076720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60509668800).

42217076720 is an abundant number, since it is smaller than the sum of its proper divisors (78802260880).

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

42217076720 is a wasteful number, since it uses less digits than its factorization.

42217076720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10277 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 38.

The spelling of 42217076720 in words is "forty-two billion, two hundred seventeen million, seventy-six thousand, seven hundred twenty".