425312665600 has 135 divisors (see below), whose sum is σ = 1055779314037. Its totient is φ = 169958113280.

The previous prime is 425312665579. The next prime is 425312665651. The reversal of 425312665600 is 6566213524.

It is a happy number.

The square root of 425312665600 is 652160.

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

It can be written as a sum of positive squares in only one way, i.e., 153112559616 + 272200105984 = 391296^2 + 521728^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 417381891 + ... + 417382909.

Almost surely, 2^425312665600 is an apocalyptic number.

425312665600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

425312665600 is the 652160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425312665600

425312665600 is an abundant number, since it is smaller than the sum of its proper divisors (630466648437).

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

425312665600 is an frugal number, since it uses more digits than its factorization.

425312665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 425312665600 in words is "four hundred twenty-five billion, three hundred twelve million, six hundred sixty-five thousand, six hundred".