321442404001440 has 192 divisors, whose sum is σ = 1016033043723264. Its totient is φ = 85423076794368.

The previous prime is 321442404001393. The next prime is 321442404001463. The reversal of 321442404001440 is 44100404244123.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161297172 + ... + 163277868.

It is an arithmetic number, because the mean of its divisors is an integer number (5291838769392).

Almost surely, 2^{321442404001440} is an apocalyptic number.

321442404001440 is a gapful number since it is divisible by the number (30) 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 321442404001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508016521861632).

321442404001440 is an abundant number, since it is smaller than the sum of its proper divisors (694590639721824).

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

321442404001440 is a wasteful number, since it uses less digits than its factorization.

321442404001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981879 (or 1981871 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 321442404001440 its reverse (44100404244123), we get a palindrome (365542808245563).

The spelling of 321442404001440 in words is "three hundred twenty-one trillion, four hundred forty-two billion, four hundred four million, one thousand, four hundred forty".