4004660006640 has 60 divisors (see below), whose sum is σ = 13448983191384. Its totient is φ = 1067909334912.

The previous prime is 4004660006639. The next prime is 4004660006653. The reversal of 4004660006640 is 466000664004.

It is a happy number.

4004660006640 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 6 + 6 + 0 + 0 + 0 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×4004660006640³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4004660006595 and 4004660006604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2781013174 + ... + 2781014613.

Almost surely, 2^{4004660006640} is an apocalyptic number.

4004660006640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004660006640 is an abundant number, since it is smaller than the sum of its proper divisors (9444323184744).

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

4004660006640 is a wasteful number, since it uses less digits than its factorization.

4004660006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562027806 (or 5562027797 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 4004660006640 in words is "four trillion, four billion, six hundred sixty million, six thousand, six hundred forty".