409385656755 has 24 divisors (see below), whose sum is σ = 721628958960. Its totient is φ = 214638354240.

The previous prime is 409385656753. The next prime is 409385656787. The reversal of 409385656755 is 557656583904.

It is a happy number.

409385656755 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 8 + 565 + 67 + 5 + 5 = 666.

It is not a de Polignac number, because 409385656755 - 2¹ = 409385656753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409385656692 and 409385656701.

It is not an unprimeable number, because it can be changed into a prime (409385656753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77094456 + ... + 77099765.

It is an arithmetic number, because the mean of its divisors is an integer number (30067873290).

Almost surely, 2^409385656755 is an apocalyptic number.

409385656755 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

409385656755 is a deficient number, since it is larger than the sum of its proper divisors (312243302205).

409385656755 is a wasteful number, since it uses less digits than its factorization.

409385656755 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154194291 (or 154194288 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 409385656755 in words is "four hundred nine billion, three hundred eighty-five million, six hundred fifty-six thousand, seven hundred fifty-five".