321104144400432 has 160 divisors (see below), whose sum is σ = 843050141337600. Its totient is φ = 105302929858560.

The previous prime is 321104144400373. The next prime is 321104144400433. The reversal of 321104144400432 is 234004441401123.

It is a happy number.

It is a super-2 number, since 2×321104144400432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321104144400393 and 321104144400402.

It is not an unprimeable number, because it can be changed into a prime (321104144400433) 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 31 ways as a sum of consecutive naturals, for example, 13606672569 + ... + 13606696167.

It is an arithmetic number, because the mean of its divisors is an integer number (5269063383360).

Almost surely, 2^{321104144400432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321104144400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421525070668800).

321104144400432 is an abundant number, since it is smaller than the sum of its proper divisors (521945996937168).

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

321104144400432 is a wasteful number, since it uses less digits than its factorization.

321104144400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42171 (or 42165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 321104144400432 its reverse (234004441401123), we get a palindrome (555108585801555).

The spelling of 321104144400432 in words is "three hundred twenty-one trillion, one hundred four billion, one hundred forty-four million, four hundred thousand, four hundred thirty-two".