22072343040 has 960 divisors, whose sum is σ = 91003461120. Its totient is φ = 4883742720.

The previous prime is 22072343003. The next prime is 22072343063. The reversal of 22072343040 is 4034327022.

22072343040 is a `hidden beast` number, since 2 + 207 + 23 + 430 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a junction number, because it is equal to n+sod(n) for n = 22072342995 and 22072343013.

It is a congruent number.

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, 202498506 + ... + 202498614.

It is an arithmetic number, because the mean of its divisors is an integer number (94795272).

Almost surely, 2^22072343040 is an apocalyptic number.

22072343040 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 22072343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45501730560).

22072343040 is an abundant number, since it is smaller than the sum of its proper divisors (68931118080).

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

22072343040 is a wasteful number, since it uses less digits than its factorization.

22072343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 22072343040 in words is "twenty-two billion, seventy-two million, three hundred forty-three thousand, forty".