22222040400 has 360 divisors, whose sum is σ = 89051703104. Its totient is φ = 5026406400.

The previous prime is 22222040381. The next prime is 22222040417. The reversal of 22222040400 is 404022222.

22222040400 is a `hidden beast` number, since 2 + 2 + 2 + 220 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×22222040400³ (a number of 32 digits) contains 333 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 2439855 + ... + 2448945.

Almost surely, 2^22222040400 is an apocalyptic number.

22222040400 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 22222040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44525851552).

22222040400 is an abundant number, since it is smaller than the sum of its proper divisors (66829662704).

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

22222040400 is a wasteful number, since it uses less digits than its factorization.

22222040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9219 (or 9205 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 22222040400 its reverse (404022222), we get a palindrome (22626062622).

The spelling of 22222040400 in words is "twenty-two billion, two hundred twenty-two million, forty thousand, four hundred".