42217543680 has 384 divisors, whose sum is σ = 147922407360. Its totient is φ = 10215751680.

The previous prime is 42217543679. The next prime is 42217543699. The reversal of 42217543680 is 8634571224.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24360094 + ... + 24361826.

Almost surely, 2^42217543680 is an apocalyptic number.

42217543680 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 42217543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73961203680).

42217543680 is an abundant number, since it is smaller than the sum of its proper divisors (105704863680).

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

42217543680 is a wasteful number, since it uses less digits than its factorization.

42217543680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 42217543680 in words is "forty-two billion, two hundred seventeen million, five hundred forty-three thousand, six hundred eighty".