222451142400 has 864 divisors, whose sum is σ = 862926435840. Its totient is φ = 56659046400.

The previous prime is 222451142399. The next prime is 222451142413. The reversal of 222451142400 is 4241154222.

It is a happy number.

222451142400 is a `hidden beast` number, since 2 + 2 + 245 + 1 + 14 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 321926055 + ... + 321926745.

Almost surely, 2^222451142400 is an apocalyptic number.

222451142400 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 222451142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431463217920).

222451142400 is an abundant number, since it is smaller than the sum of its proper divisors (640475293440).

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

222451142400 is an frugal number, since it uses more digits than its factorization.

222451142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 222451142400 its reverse (4241154222), we get a palindrome (226692296622).

The spelling of 222451142400 in words is "two hundred twenty-two billion, four hundred fifty-one million, one hundred forty-two thousand, four hundred".