4021404422000 has 960 divisors, whose sum is σ = 12142360339200. Its totient is φ = 1281866342400.

The previous prime is 4021404421987. The next prime is 4021404422033. The reversal of 4021404422000 is 2244041204.

4021404422000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17560717886 + ... + 17560718114.

It is an arithmetic number, because the mean of its divisors is an integer number (12648292020).

Almost surely, 2^{4021404422000} is an apocalyptic number.

4021404422000 is a gapful number since it is divisible by the number (40) 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 4021404422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6071180169600).

4021404422000 is an abundant number, since it is smaller than the sum of its proper divisors (8120955917200).

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

4021404422000 is a wasteful number, since it uses less digits than its factorization.

4021404422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 4021404422000 its reverse (2244041204), we get a palindrome (4023648463204).

The spelling of 4021404422000 in words is "four trillion, twenty-one billion, four hundred four million, four hundred twenty-two thousand".