42218205960 has 384 divisors, whose sum is σ = 164217456000. Its totient is φ = 8603836416.

The previous prime is 42218205937. The next prime is 42218205983. The reversal of 42218205960 is 6950281224.

It is an interprime number because it is at equal distance from previous prime (42218205937) and next prime (42218205983).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1888126 + ... + 1910354.

It is an arithmetic number, because the mean of its divisors is an integer number (427649625).

Almost surely, 2^42218205960 is an apocalyptic number.

42218205960 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 42218205960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82108728000).

42218205960 is an abundant number, since it is smaller than the sum of its proper divisors (121999250040).

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

42218205960 is a wasteful number, since it uses less digits than its factorization.

42218205960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22293 (or 22282 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 42218205960 in words is "forty-two billion, two hundred eighteen million, two hundred five thousand, nine hundred sixty".