427917604401 has 64 divisors (see below), whose sum is σ = 762796800000. Its totient is φ = 231609761856.

The previous prime is 427917604391. The next prime is 427917604403. The reversal of 427917604401 is 104406719724.

427917604401 is a `hidden beast` number, since 4 + 2 + 79 + 176 + 0 + 4 + 401 = 666.

It is not a de Polignac number, because 427917604401 - 2²² = 427913410097 is a prime.

It is a super-2 number, since 2×427917604401² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427917604403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27962650 + ... + 27977948.

It is an arithmetic number, because the mean of its divisors is an integer number (11918700000).

Almost surely, 2^427917604401 is an apocalyptic number.

It is an amenable number.

427917604401 is a deficient number, since it is larger than the sum of its proper divisors (334879195599).

427917604401 is a wasteful number, since it uses less digits than its factorization.

427917604401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23123 (or 23117 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 427917604401 in words is "four hundred twenty-seven billion, nine hundred seventeen million, six hundred four thousand, four hundred one".