409983395041 has 36 divisors (see below), whose sum is σ = 462553774956. Its totient is φ = 363109120000.

The previous prime is 409983394991. The next prime is 409983395051. The reversal of 409983395041 is 140593389904.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 202954755025 + 207028640016 = 450505^2 + 455004^2 .

It is not a de Polignac number, because 409983395041 - 2¹¹ = 409983392993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409983395051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 276828021 + ... + 276829501.

It is an arithmetic number, because the mean of its divisors is an integer number (12848715971).

Almost surely, 2^409983395041 is an apocalyptic number.

409983395041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

409983395041 is a deficient number, since it is larger than the sum of its proper divisors (52570379915).

409983395041 is a wasteful number, since it uses less digits than its factorization.

409983395041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The spelling of 409983395041 in words is "four hundred nine billion, nine hundred eighty-three million, three hundred ninety-five thousand, forty-one".