1422341334100 has 108 divisors (see below), whose sum is σ = 3384618659604. Its totient is φ = 517004687360.

The previous prime is 1422341334077. The next prime is 1422341334103. The reversal of 1422341334100 is 14331432241.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 1006053132484 + 416288201616 = 1003022^2 + 645204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422341334103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 932274 + ... + 1927126.

It is an arithmetic number, because the mean of its divisors is an integer number (31339061663).

Almost surely, 2^{1422341334100} is an apocalyptic number.

1422341334100 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 1422341334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692309329802).

1422341334100 is an abundant number, since it is smaller than the sum of its proper divisors (1962277325504).

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

1422341334100 is a wasteful number, since it uses less digits than its factorization.

1422341334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994942 (or 994906 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1422341334100 its reverse (14331432241), we get a palindrome (1436672766341).

The spelling of 1422341334100 in words is "one trillion, four hundred twenty-two billion, three hundred forty-one million, three hundred thirty-four thousand, one hundred".