425004873523200 has 840 divisors, whose sum is σ = 1579465159976748. Its totient is φ = 112971161272320.

The previous prime is 425004873523187. The next prime is 425004873523249. The reversal of 425004873523200 is 2325378400524.

425004873523200 is a `hidden beast` number, since 4 + 2 + 50 + 0 + 4 + 8 + 73 + 523 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 110902129496064 + 314102744027136 = 10531008^2 + 17722944^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5192253474 + ... + 5192335326.

Almost surely, 2^{425004873523200} is an apocalyptic number.

425004873523200 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 425004873523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789732579988374).

425004873523200 is an abundant number, since it is smaller than the sum of its proper divisors (1154460286453548).

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

425004873523200 is an equidigital number, since it uses as much as digits as its factorization.

425004873523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82214 (or 82176 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 425004873523200 in words is "four hundred twenty-five trillion, four billion, eight hundred seventy-three million, five hundred twenty-three thousand, two hundred".