1004222350400 has 84 divisors (see below), whose sum is σ = 2476175205120. Its totient is φ = 400850035200.

The previous prime is 1004222350399. The next prime is 1004222350409. The reversal of 1004222350400 is 40532224001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1004222350409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111245 + ... + 1421555.

Almost surely, 2^{1004222350400} is an apocalyptic number.

1004222350400 is a gapful number since it is divisible by the number (10) 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 1004222350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238087602560).

1004222350400 is an abundant number, since it is smaller than the sum of its proper divisors (1471952854720).

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

1004222350400 is a wasteful number, since it uses less digits than its factorization.

1004222350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310812 (or 1310797 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 1004222350400 its reverse (40532224001), we get a palindrome (1044754574401).

The spelling of 1004222350400 in words is "one trillion, four billion, two hundred twenty-two million, three hundred fifty thousand, four hundred".