425918296800 has 216 divisors, whose sum is σ = 1502382497616. Its totient is φ = 113541304320.

The previous prime is 425918296753. The next prime is 425918296823. The reversal of 425918296800 is 8692819524.

It is a happy number.

425918296800 is a `hidden beast` number, since 42 + 591 + 8 + 2 + 9 + 6 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27690712 + ... + 27706088.

It is an arithmetic number, because the mean of its divisors is an integer number (6955474526).

Almost surely, 2^425918296800 is an apocalyptic number.

425918296800 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 425918296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751191248808).

425918296800 is an abundant number, since it is smaller than the sum of its proper divisors (1076464200816).

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

425918296800 is a wasteful number, since it uses less digits than its factorization.

425918296800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19250 (or 19234 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 425918296800 in words is "four hundred twenty-five billion, nine hundred eighteen million, two hundred ninety-six thousand, eight hundred".