4004054386461 has 12 divisors (see below), whose sum is σ = 5783699407200. Its totient is φ = 2669339455560.

The previous prime is 4004054386391. The next prime is 4004054386511. The reversal of 4004054386461 is 1646834504004.

4004054386461 is a `hidden beast` number, since 4 + 0 + 0 + 40 + 543 + 8 + 6 + 4 + 61 = 666.

It is not a de Polignac number, because 4004054386461 - 2⁹ = 4004054385949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004054386961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1654395 + ... + 3277976.

It is an arithmetic number, because the mean of its divisors is an integer number (481974950600).

Almost surely, 2^{4004054386461} is an apocalyptic number.

It is an amenable number.

4004054386461 is a deficient number, since it is larger than the sum of its proper divisors (1779645020739).

4004054386461 is a wasteful number, since it uses less digits than its factorization.

4004054386461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022576 (or 5022573 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4004054386461 in words is "four trillion, four billion, fifty-four million, three hundred eighty-six thousand, four hundred sixty-one".