4059409736655 has 128 divisors (see below), whose sum is σ = 8883173376000. Its totient is φ = 1712779955712.

The previous prime is 4059409736651. The next prime is 4059409736677. The reversal of 4059409736655 is 5566379049504.

4059409736655 is a `hidden beast` number, since 4 + 0 + 59 + 409 + 73 + 66 + 55 = 666.

It is not a de Polignac number, because 4059409736655 - 2² = 4059409736651 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 4059409736592 and 4059409736601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4059409736651) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153758146 + ... + 153784544.

It is an arithmetic number, because the mean of its divisors is an integer number (69399792000).

Almost surely, 2^{4059409736655} is an apocalyptic number.

4059409736655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4059409736655 is an abundant number, since it is smaller than the sum of its proper divisors (4823763639345).

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

4059409736655 is a wasteful number, since it uses less digits than its factorization.

4059409736655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38950 (or 38944 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 4059409736655 in words is "four trillion, fifty-nine billion, four hundred nine million, seven hundred thirty-six thousand, six hundred fifty-five".