427592677442112 has 3024 divisors, whose sum is σ = 1691892204687360. Its totient is φ = 102571486617600.

The previous prime is 427592677442041. The next prime is 427592677442123. The reversal of 427592677442112 is 211244776295724.

427592677442112 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 9 + 2 + 6 + 77 + 442 + 112 = 666.

It is a super-2 number, since 2×427592677442112² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 427592677442112.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 200653531287 + ... + 200653533417.

Almost surely, 2^{427592677442112} is an apocalyptic number.

427592677442112 is a gapful number since it is divisible by the number (42) 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 427592677442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845946102343680).

427592677442112 is an abundant number, since it is smaller than the sum of its proper divisors (1264299527245248).

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

427592677442112 is a wasteful number, since it uses less digits than its factorization.

427592677442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2269 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 427592677442112 in words is "four hundred twenty-seven trillion, five hundred ninety-two billion, six hundred seventy-seven million, four hundred forty-two thousand, one hundred twelve".