1353322030400 has 84 divisors (see below), whose sum is σ = 3411238138140. Its totient is φ = 528125644800.

The previous prime is 1353322030363. The next prime is 1353322030421. The reversal of 1353322030400 is 40302233531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 506465648896 + 846856381504 = 711664^2 + 920248^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1353322030400.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 10249355 + ... + 10380554.

It is an arithmetic number, because the mean of its divisors is an integer number (40609977835).

Almost surely, 2^{1353322030400} is an apocalyptic number.

1353322030400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353322030400 is an abundant number, since it is smaller than the sum of its proper divisors (2057916107740).

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

1353322030400 is a wasteful number, since it uses less digits than its factorization.

1353322030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20629972 (or 20629957 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 26.

Adding to 1353322030400 its reverse (40302233531), we get a palindrome (1393624263931).

The spelling of 1353322030400 in words is "one trillion, three hundred fifty-three billion, three hundred twenty-two million, thirty thousand, four hundred".