42217319200 has 288 divisors, whose sum is σ = 121240990080. Its totient is φ = 14056243200.

The previous prime is 42217319113. The next prime is 42217319251. The reversal of 42217319200 is 291371224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28352056 + ... + 28353544.

It is an arithmetic number, because the mean of its divisors is an integer number (420975660).

Almost surely, 2^42217319200 is an apocalyptic number.

42217319200 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 42217319200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60620495040).

42217319200 is an abundant number, since it is smaller than the sum of its proper divisors (79023670880).

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

42217319200 is a wasteful number, since it uses less digits than its factorization.

42217319200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1660 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 42217319200 in words is "forty-two billion, two hundred seventeen million, three hundred nineteen thousand, two hundred".