22218071040 has 704 divisors, whose sum is σ = 90788544000. Its totient is φ = 5096079360.

The previous prime is 22218071033. The next prime is 22218071081. The reversal of 22218071040 is 4017081222.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 22218070995 and 22218071013.

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 63 ways as a sum of consecutive naturals, for example, 28891776 + ... + 28892544.

It is an arithmetic number, because the mean of its divisors is an integer number (128961000).

Almost surely, 2^22218071040 is an apocalyptic number.

22218071040 is a gapful number since it is divisible by the number (20) 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 22218071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45394272000).

22218071040 is an abundant number, since it is smaller than the sum of its proper divisors (68570472960).

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

22218071040 is a wasteful number, since it uses less digits than its factorization.

22218071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 22218071040 in words is "twenty-two billion, two hundred eighteen million, seventy-one thousand, forty".