405642414611 has 128 divisors (see below), whose sum is σ = 530821939200. Its totient is φ = 302196510720.

The previous prime is 405642414607. The next prime is 405642414641. The reversal of 405642414611 is 116414246504.

It is a cyclic number.

It is not a de Polignac number, because 405642414611 - 2² = 405642414607 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405642414641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1168998140 + ... + 1168998486.

It is an arithmetic number, because the mean of its divisors is an integer number (4147046400).

Almost surely, 2^405642414611 is an apocalyptic number.

405642414611 is a deficient number, since it is larger than the sum of its proper divisors (125179524589).

405642414611 is a wasteful number, since it uses less digits than its factorization.

405642414611 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 405642414611 in words is "four hundred five billion, six hundred forty-two million, four hundred fourteen thousand, six hundred eleven".