425484416448 has 336 divisors, whose sum is σ = 1525632728256. Its totient is φ = 110375239680.

The previous prime is 425484416429. The next prime is 425484416471. The reversal of 425484416448 is 844614484524.

425484416448 is a `hidden beast` number, since 4 + 2 + 548 + 44 + 16 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 425484416394 and 425484416403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3130840 + ... + 3263912.

It is an arithmetic number, because the mean of its divisors is an integer number (4540573596).

Almost surely, 2^425484416448 is an apocalyptic number.

425484416448 is a gapful number since it is divisible by the number (48) 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 425484416448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762816364128).

425484416448 is an abundant number, since it is smaller than the sum of its proper divisors (1100148311808).

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

425484416448 is a wasteful number, since it uses less digits than its factorization.

425484416448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133172 (or 133159 counting only the distinct ones).

The product of its digits is 15728640, while the sum is 54.

The spelling of 425484416448 in words is "four hundred twenty-five billion, four hundred eighty-four million, four hundred sixteen thousand, four hundred forty-eight".