1322322240400 has 120 divisors (see below), whose sum is σ = 3844290913920. Its totient is φ = 426698926080.

The previous prime is 1322322240341. The next prime is 1322322240403. The reversal of 1322322240400 is 40422232231.

It is a super-2 number, since 2×1322322240400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1322322240403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13842340 + ... + 13937539.

It is an arithmetic number, because the mean of its divisors is an integer number (32035757616).

Almost surely, 2^{1322322240400} is an apocalyptic number.

1322322240400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1322322240400 is an abundant number, since it is smaller than the sum of its proper divisors (2521968673520).

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

1322322240400 is a wasteful number, since it uses less digits than its factorization.

1322322240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27779921 (or 27779910 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 1322322240400 its reverse (40422232231), we get a palindrome (1362744472631).

The spelling of 1322322240400 in words is "one trillion, three hundred twenty-two billion, three hundred twenty-two million, two hundred forty thousand, four hundred".