427285120000 has 220 divisors, whose sum is σ = 1073084112540. Its totient is φ = 169996288000.

The previous prime is 427285119997. The next prime is 427285120007. The reversal of 427285120000 is 21582724.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 77881181184 + 349403938816 = 279072^2 + 591104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427285120007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126078306 + ... + 126081694.

It is an arithmetic number, because the mean of its divisors is an integer number (4877655057).

Almost surely, 2^427285120000 is an apocalyptic number.

427285120000 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 427285120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536542056270).

427285120000 is an abundant number, since it is smaller than the sum of its proper divisors (645798992540).

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

427285120000 is an equidigital number, since it uses as much as digits as its factorization.

427285120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 427285120000 in words is "four hundred twenty-seven billion, two hundred eighty-five million, one hundred twenty thousand".