222400410004000 has 768 divisors, whose sum is σ = 582953169262464. Its totient is φ = 83267813376000.

The previous prime is 222400410003913. The next prime is 222400410004001. The reversal of 222400410004000 is 400014004222.

It can be written as a sum of positive squares in 64 ways, for example, as 217829143649296 + 4571266354704 = 14759036^2 + 2138052^2 .

It is not an unprimeable number, because it can be changed into a prime (222400410004001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 219546307494 + ... + 219546308506.

Almost surely, 2^{222400410004000} is an apocalyptic number.

222400410004000 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 222400410004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291476584631232).

222400410004000 is an abundant number, since it is smaller than the sum of its proper divisors (360552759258464).

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

222400410004000 is a wasteful number, since it uses less digits than its factorization.

222400410004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 222400410004000 its reverse (400014004222), we get a palindrome (222800424008222).

The spelling of 222400410004000 in words is "two hundred twenty-two trillion, four hundred billion, four hundred ten million, four thousand".