427742526200 has 144 divisors (see below), whose sum is σ = 1105417530000. Its totient is φ = 153794291200.

The previous prime is 427742526191. The next prime is 427742526209. The reversal of 427742526200 is 2625247724.

It is an interprime number because it is at equal distance from previous prime (427742526191) and next prime (427742526209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427742526209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2054501 + ... + 2253099.

It is an arithmetic number, because the mean of its divisors is an integer number (7676510625).

Almost surely, 2^427742526200 is an apocalyptic number.

427742526200 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 427742526200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552708765000).

427742526200 is an abundant number, since it is smaller than the sum of its proper divisors (677675003800).

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

427742526200 is a wasteful number, since it uses less digits than its factorization.

427742526200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198726 (or 198706 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 41.

The spelling of 427742526200 in words is "four hundred twenty-seven billion, seven hundred forty-two million, five hundred twenty-six thousand, two hundred".