4224334024040 has 128 divisors (see below), whose sum is σ = 10529983618560. Its totient is φ = 1515423811584.

The previous prime is 4224334024039. The next prime is 4224334024073. The reversal of 4224334024040 is 404204334224.

It is a junction number, because it is equal to n+sod(n) for n = 4224334023988 and 4224334024006.

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, 2717459 + ... + 3979101.

It is an arithmetic number, because the mean of its divisors is an integer number (82265497020).

Almost surely, 2^{4224334024040} is an apocalyptic number.

4224334024040 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 4224334024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264991809280).

4224334024040 is an abundant number, since it is smaller than the sum of its proper divisors (6305649594520).

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

4224334024040 is a wasteful number, since it uses less digits than its factorization.

4224334024040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261851 (or 1261847 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 4224334024040 its reverse (404204334224), we get a palindrome (4628538358264).

The spelling of 4224334024040 in words is "four trillion, two hundred twenty-four billion, three hundred thirty-four million, twenty-four thousand, forty".