405305013141 has 32 divisors (see below), whose sum is σ = 686538190080. Its totient is φ = 231499090368.

The previous prime is 405305012977. The next prime is 405305013199. The reversal of 405305013141 is 141310503504.

It is a happy number.

405305013141 is a `hidden beast` number, since 40 + 5 + 305 + 0 + 1 + 314 + 1 = 666.

It is not a de Polignac number, because 405305013141 - 2¹⁵ = 405304980373 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405305018141) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 56526 + ... + 902111.

It is an arithmetic number, because the mean of its divisors is an integer number (21454318440).

Almost surely, 2^405305013141 is an apocalyptic number.

It is an amenable number.

405305013141 is a deficient number, since it is larger than the sum of its proper divisors (281233176939).

405305013141 is a wasteful number, since it uses less digits than its factorization.

405305013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960890 (or 960884 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 405305013141 its reverse (141310503504), we get a palindrome (546615516645).

The spelling of 405305013141 in words is "four hundred five billion, three hundred five million, thirteen thousand, one hundred forty-one".