222042440000 has 560 divisors, whose sum is σ = 609695347536. Its totient is φ = 79872000000.

The previous prime is 222042439991. The next prime is 222042440003. The reversal of 222042440000 is 44240222.

It can be written as a sum of positive squares in 40 ways, for example, as 221833464064 + 208975936 = 470992^2 + 14456^2 .

It is a super-2 number, since 2×222042440000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222042440003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2198439950 + ... + 2198440050.

Almost surely, 2^222042440000 is an apocalyptic number.

222042440000 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 222042440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304847673768).

222042440000 is an abundant number, since it is smaller than the sum of its proper divisors (387652907536).

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

222042440000 is a wasteful number, since it uses less digits than its factorization.

222042440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 222042440000 its reverse (44240222), we get a palindrome (222086680222).

The spelling of 222042440000 in words is "two hundred twenty-two billion, forty-two million, four hundred forty thousand".