4001222020240 has 80 divisors (see below), whose sum is σ = 9401126950080. Its totient is φ = 1583615577600.

The previous prime is 4001222020183. The next prime is 4001222020319. The reversal of 4001222020240 is 420202221004.

4001222020240 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 (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6814315 + ... + 7378165.

It is an arithmetic number, because the mean of its divisors is an integer number (117514086876).

Almost surely, 2^{4001222020240} is an apocalyptic number.

4001222020240 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 4001222020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700563475040).

4001222020240 is an abundant number, since it is smaller than the sum of its proper divisors (5399904929840).

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

4001222020240 is a wasteful number, since it uses less digits than its factorization.

4001222020240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564800 (or 564794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 4001222020240 its reverse (420202221004), we get a palindrome (4421424241244).

The spelling of 4001222020240 in words is "four trillion, one billion, two hundred twenty-two million, twenty thousand, two hundred forty".