40233220000 has 240 divisors, whose sum is σ = 106303278312. Its totient is φ = 14929920000.

The previous prime is 40233219941. The next prime is 40233220019. The reversal of 40233220000 is 2233204.

It can be written as a sum of positive squares in 20 ways, for example, as 4812474384 + 35420745616 = 69372^2 + 188204^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24819190 + ... + 24820810.

Almost surely, 2^40233220000 is an apocalyptic number.

40233220000 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 40233220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53151639156).

40233220000 is an abundant number, since it is smaller than the sum of its proper divisors (66070058312).

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

40233220000 is a wasteful number, since it uses less digits than its factorization.

40233220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 40233220000 its reverse (2233204), we get a palindrome (40235453204).

The spelling of 40233220000 in words is "forty billion, two hundred thirty-three million, two hundred twenty thousand".