427042557216 has 480 divisors, whose sum is σ = 1451680211520. Its totient is φ = 121790822400.

The previous prime is 427042557101. The next prime is 427042557229. The reversal of 427042557216 is 612755240724.

427042557216 is a `hidden beast` number, since 4 + 2 + 7 + 0 + 425 + 5 + 7 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85048786 + ... + 85053806.

It is an arithmetic number, because the mean of its divisors is an integer number (3024333774).

Almost surely, 2^427042557216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427042557216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725840105760).

427042557216 is an abundant number, since it is smaller than the sum of its proper divisors (1024637654304).

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

427042557216 is a wasteful number, since it uses less digits than its factorization.

427042557216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5230 (or 5213 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 427042557216 in words is "four hundred twenty-seven billion, forty-two million, five hundred fifty-seven thousand, two hundred sixteen".