425393010000 has 450 divisors, whose sum is σ = 1730562138162. Its totient is φ = 97231680000.

The previous prime is 425393009999. The next prime is 425393010019. The reversal of 425393010000 is 10393524.

It can be written as a sum of positive squares in 5 ways, for example, as 48657301056 + 376735708944 = 220584^2 + 613788^2 .

It is a tau number, because it is divible by the number of its divisors (450).

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 89 ways as a sum of consecutive naturals, for example, 4361770 + ... + 4458230.

Almost surely, 2^425393010000 is an apocalyptic number.

425393010000 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 425393010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865281069081).

425393010000 is an abundant number, since it is smaller than the sum of its proper divisors (1305169128162).

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

425393010000 is a wasteful number, since it uses less digits than its factorization.

425393010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96509 (or 96478 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 425393010000 in words is "four hundred twenty-five billion, three hundred ninety-three million, ten thousand".