424252125044440 has 768 divisors, whose sum is σ = 1239844292628480. Its totient is φ = 129163256893440.

The previous prime is 424252125044437. The next prime is 424252125044569. The reversal of 424252125044440 is 44440521252424.

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, 90208827129 + ... + 90208831831.

It is an arithmetic number, because the mean of its divisors is an integer number (1614380589360).

Almost surely, 2^{424252125044440} is an apocalyptic number.

424252125044440 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 424252125044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619922146314240).

424252125044440 is an abundant number, since it is smaller than the sum of its proper divisors (815592167584040).

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

424252125044440 is a wasteful number, since it uses less digits than its factorization.

424252125044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5320 (or 5309 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 43.

Adding to 424252125044440 its reverse (44440521252424), we get a palindrome (468692646296864).

The spelling of 424252125044440 in words is "four hundred twenty-four trillion, two hundred fifty-two billion, one hundred twenty-five million, forty-four thousand, four hundred forty".