424252125044400 has 240 divisors, whose sum is σ = 1367053306738560. Its totient is φ = 112465642598400.

The previous prime is 424252125044383. The next prime is 424252125044437. The reversal of 424252125044400 is 4440521252424.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670074379 + ... + 670707221.

It is an arithmetic number, because the mean of its divisors is an integer number (5696055444744).

Almost surely, 2^{424252125044400} is an apocalyptic number.

424252125044400 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 424252125044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683526653369280).

424252125044400 is an abundant number, since it is smaller than the sum of its proper divisors (942801181694160).

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

424252125044400 is a wasteful number, since it uses less digits than its factorization.

424252125044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636164 (or 636153 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 39.

Adding to 424252125044400 its reverse (4440521252424), we get a palindrome (428692646296824).

The spelling of 424252125044400 in words is "four hundred twenty-four trillion, two hundred fifty-two billion, one hundred twenty-five million, forty-four thousand, four hundred".