425145729024 has 255 divisors, whose sum is σ = 1274682907443. Its totient is φ = 141214482432.

The previous prime is 425145728993. The next prime is 425145729061. The reversal of 425145729024 is 420927541524.

The square root of 425145729024 is 652032.

It is a perfect power (a square), and thus also a powerful number.

425145729024 is a `hidden beast` number, since 4 + 2 + 51 + 4 + 572 + 9 + 0 + 24 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1502281587 + ... + 1502281869.

Almost surely, 2^425145729024 is an apocalyptic number.

425145729024 is the 652032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425145729024

425145729024 is an abundant number, since it is smaller than the sum of its proper divisors (849537178419).

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

425145729024 is an frugal number, since it uses more digits than its factorization.

425145729024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 425145729024 in words is "four hundred twenty-five billion, one hundred forty-five million, seven hundred twenty-nine thousand, twenty-four".