409385754045 has 64 divisors (see below), whose sum is σ = 738886368000. Its totient is φ = 215014238208.

The previous prime is 409385753999. The next prime is 409385754047. The reversal of 409385754045 is 540457583904.

It is a happy number.

409385754045 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 8 + 57 + 540 + 45 = 666.

It is not a de Polignac number, because 409385754045 - 2²³ = 409377365437 is a prime.

It is a super-2 number, since 2×409385754045² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 409385753982 and 409385754000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409385754047) 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, 47111061 + ... + 47119749.

It is an arithmetic number, because the mean of its divisors is an integer number (11545099500).

Almost surely, 2^409385754045 is an apocalyptic number.

409385754045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

409385754045 is a deficient number, since it is larger than the sum of its proper divisors (329500613955).

409385754045 is a wasteful number, since it uses less digits than its factorization.

409385754045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13979 (or 13973 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 409385754045 in words is "four hundred nine billion, three hundred eighty-five million, seven hundred fifty-four thousand, forty-five".