221401020004000 has 192 divisors, whose sum is σ = 578996908019712. Its totient is φ = 82914574848000.

The previous prime is 221401020003991. The next prime is 221401020004063. The reversal of 221401020004000 is 400020104122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464709 + ... + 21511291.

It is an arithmetic number, because the mean of its divisors is an integer number (3015608895936).

Almost surely, 2^{221401020004000} is an apocalyptic number.

221401020004000 is a gapful number since it is divisible by the number (20) 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 221401020004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289498454009856).

221401020004000 is an abundant number, since it is smaller than the sum of its proper divisors (357595888015712).

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

221401020004000 is a wasteful number, since it uses less digits than its factorization.

221401020004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17046816 (or 17046798 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 221401020004000 its reverse (400020104122), we get a palindrome (221801040108122).

The spelling of 221401020004000 in words is "two hundred twenty-one trillion, four hundred one billion, twenty million, four thousand".