425443453344000 has 5184 divisors, whose sum is σ = 1985431739578560. Its totient is φ = 86639719219200.

The previous prime is 425443453343999. The next prime is 425443453344071. The reversal of 425443453344000 is 443354344524.

425443453344000 is a `hidden beast` number, since 4 + 2 + 5 + 44 + 34 + 533 + 4 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 406981238098176 + 18462215245824 = 20173776^2 + 4296768^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1581574175866 + ... + 1581574176134.

It is an arithmetic number, because the mean of its divisors is an integer number (382992233715).

Almost surely, 2^{425443453344000} is an apocalyptic number.

425443453344000 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 425443453344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992715869789280).

425443453344000 is an abundant number, since it is smaller than the sum of its proper divisors (1559988286234560).

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

425443453344000 is a wasteful number, since it uses less digits than its factorization.

425443453344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 45.

The spelling of 425443453344000 in words is "four hundred twenty-five trillion, four hundred forty-three billion, four hundred fifty-three million, three hundred forty-four thousand".