42222248640 has 672 divisors, whose sum is σ = 171965941056. Its totient is φ = 9373777920.

The previous prime is 42222248623. The next prime is 42222248641. The reversal of 42222248640 is 4684222224.

42222248640 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 2 + 4 + 8 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42222248595 and 42222248604.

It is not an unprimeable number, because it can be changed into a prime (42222248641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64658554 + ... + 64659206.

It is an arithmetic number, because the mean of its divisors is an integer number (255901698).

Almost surely, 2^42222248640 is an apocalyptic number.

42222248640 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 42222248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85982970528).

42222248640 is an abundant number, since it is smaller than the sum of its proper divisors (129743692416).

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

42222248640 is a wasteful number, since it uses less digits than its factorization.

42222248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 42222248640 in words is "forty-two billion, two hundred twenty-two million, two hundred forty-eight thousand, six hundred forty".