221322201401004 has 96 divisors (see below), whose sum is σ = 575407899795456. Its totient is φ = 65634003823680.

The previous prime is 221322201400999. The next prime is 221322201401011. The reversal of 221322201401004 is 400104102223122.

It is a super-3 number, since 3×221322201401004³ (a number of 44 digits) contains 333 as substring.

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, 62443419 + ... + 65892525.

It is an arithmetic number, because the mean of its divisors is an integer number (5993832289536).

Almost surely, 2^{221322201401004} 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 221322201401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287703949897728).

221322201401004 is an abundant number, since it is smaller than the sum of its proper divisors (354085698394452).

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

221322201401004 is a wasteful number, since it uses less digits than its factorization.

221322201401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3459515 (or 3459513 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 221322201401004 its reverse (400104102223122), we get a palindrome (621426303624126).

The spelling of 221322201401004 in words is "two hundred twenty-one trillion, three hundred twenty-two billion, two hundred one million, four hundred one thousand, four".