425138827395072 has 1024 divisors, whose sum is σ = 1399158199296000. Its totient is φ = 112193886486528.

The previous prime is 425138827395071. The next prime is 425138827395089. The reversal of 425138827395072 is 270593728831524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a junction number, because it is equal to n+sod(n) for n = 425138827394994 and 425138827395012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425138827395071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60569711179 + ... + 60569718197.

It is an arithmetic number, because the mean of its divisors is an integer number (1366365429000).

Almost surely, 2^{425138827395072} is an apocalyptic number.

425138827395072 is a gapful number since it is divisible by the number (42) 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 425138827395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699579099648000).

425138827395072 is an abundant number, since it is smaller than the sum of its proper divisors (974019371900928).

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

425138827395072 is an equidigital number, since it uses as much as digits as its factorization.

425138827395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 425138827395072 in words is "four hundred twenty-five trillion, one hundred thirty-eight billion, eight hundred twenty-seven million, three hundred ninety-five thousand, seventy-two".