325242460547424 has 1920 divisors, whose sum is σ = 1187881049456640. Its totient is φ = 85322593714176.

The previous prime is 325242460547423. The next prime is 325242460547437. The reversal of 325242460547424 is 424745064242523.

325242460547424 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 4 + 2 + 4 + 605 + 4 + 7 + 4 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325242460547423) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 395191324677 + ... + 395191325499.

It is an arithmetic number, because the mean of its divisors is an integer number (618688046592).

Almost surely, 2^{325242460547424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325242460547424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593940524728320).

325242460547424 is an abundant number, since it is smaller than the sum of its proper divisors (862638588909216).

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

325242460547424 is a wasteful number, since it uses less digits than its factorization.

325242460547424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 54.

The spelling of 325242460547424 in words is "three hundred twenty-five trillion, two hundred forty-two billion, four hundred sixty million, five hundred forty-seven thousand, four hundred twenty-four".