427742820288 has 336 divisors, whose sum is σ = 1432362692800. Its totient is φ = 121992708096.

The previous prime is 427742820287. The next prime is 427742820289. The reversal of 427742820288 is 882028247724.

It is a happy number.

427742820288 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 428 + 202 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (427742820287) and next prime (427742820289).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427742820287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132961656 + ... + 132964872.

Almost surely, 2^427742820288 is an apocalyptic number.

427742820288 is a gapful number since it is divisible by the number (48) 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 427742820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716181346400).

427742820288 is an abundant number, since it is smaller than the sum of its proper divisors (1004619872512).

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

427742820288 is a wasteful number, since it uses less digits than its factorization.

427742820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 6422528, while the sum is 54.

The spelling of 427742820288 in words is "four hundred twenty-seven billion, seven hundred forty-two million, eight hundred twenty thousand, two hundred eighty-eight".