4067022330072 has 288 divisors, whose sum is σ = 12321568022400. Its totient is φ = 1210090752000.

The previous prime is 4067022330037. The next prime is 4067022330097. The reversal of 4067022330072 is 2700332207604.

4067022330072 is a `hidden beast` number, since 4 + 0 + 67 + 0 + 223 + 300 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 606924322 + ... + 606931022.

It is an arithmetic number, because the mean of its divisors is an integer number (42783222300).

Almost surely, 2^{4067022330072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067022330072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160784011200).

4067022330072 is an abundant number, since it is smaller than the sum of its proper divisors (8254545692328).

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

4067022330072 is a wasteful number, since it uses less digits than its factorization.

4067022330072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8379 (or 8359 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Adding to 4067022330072 its reverse (2700332207604), we get a palindrome (6767354537676).

The spelling of 4067022330072 in words is "four trillion, sixty-seven billion, twenty-two million, three hundred thirty thousand, seventy-two".