401004505305 has 40 divisors (see below), whose sum is σ = 726248474952. Its totient is φ = 211664212992.

The previous prime is 401004505277. The next prime is 401004505313. The reversal of 401004505305 is 503505400104.

It can be written as a sum of positive squares in 4 ways, for example, as 121513593744 + 279490911561 = 348588^2 + 528669^2 .

It is not a de Polignac number, because 401004505305 - 2²² = 401000311001 is a prime.

It is a super-2 number, since 2×401004505305² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5064502 + ... + 5143071.

Almost surely, 2^401004505305 is an apocalyptic number.

401004505305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

401004505305 is a deficient number, since it is larger than the sum of its proper divisors (325243969647).

401004505305 is a wasteful number, since it uses less digits than its factorization.

401004505305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10207687 (or 10207678 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 401004505305 its reverse (503505400104), we get a palindrome (904509905409).

The spelling of 401004505305 in words is "four hundred one billion, four million, five hundred five thousand, three hundred five".