3022230011040 has 144 divisors (see below), whose sum is σ = 10318354792200. Its totient is φ = 805537683456.

The previous prime is 3022230011011. The next prime is 3022230011069. The reversal of 3022230011040 is 401100322203.

3022230011040 is a `hidden beast` number, since 30 + 222 + 300 + 110 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3022230011011) and next prime (3022230011069).

It can be written as a sum of positive squares in 4 ways, for example, as 1724735877264 + 1297494133776 = 1313292^2 + 1139076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2472166 + ... + 3486554.

Almost surely, 2^{3022230011040} is an apocalyptic number.

3022230011040 is a gapful number since it is divisible by the number (30) 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 3022230011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159177396100).

3022230011040 is an abundant number, since it is smaller than the sum of its proper divisors (7296124781160).

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

3022230011040 is a wasteful number, since it uses less digits than its factorization.

3022230011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016479 (or 1016468 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3022230011040 its reverse (401100322203), we get a palindrome (3423330333243).

The spelling of 3022230011040 in words is "three trillion, twenty-two billion, two hundred thirty million, eleven thousand, forty".