4221353402240 has 128 divisors (see below), whose sum is σ = 10975561218720. Its totient is φ = 1543221043200.

The previous prime is 4221353402173. The next prime is 4221353402249. The reversal of 4221353402240 is 422043531224.

4221353402240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4221353402197 and 4221353402206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221353402249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671434 + ... + 3352073.

Almost surely, 2^{4221353402240} is an apocalyptic number.

4221353402240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4221353402240 is an abundant number, since it is smaller than the sum of its proper divisors (6754207816480).

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

4221353402240 is a wasteful number, since it uses less digits than its factorization.

4221353402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023640 (or 5023628 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4221353402240 its reverse (422043531224), we get a palindrome (4643396933464).

The spelling of 4221353402240 in words is "four trillion, two hundred twenty-one billion, three hundred fifty-three million, four hundred two thousand, two hundred forty".