405795404511 has 96 divisors (see below), whose sum is σ = 736699392000. Its totient is φ = 209870616384.

The previous prime is 405795404491. The next prime is 405795404561. The reversal of 405795404511 is 115404597504.

405795404511 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 95 + 40 + 4 + 511 = 666.

It is not a de Polignac number, because 405795404511 - 2⁵ = 405795404479 is a prime.

It is a super-2 number, since 2×405795404511² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405795404561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23640550 + ... + 23657708.

It is an arithmetic number, because the mean of its divisors is an integer number (7673952000).

Almost surely, 2^405795404511 is an apocalyptic number.

405795404511 is a deficient number, since it is larger than the sum of its proper divisors (330903987489).

405795404511 is a wasteful number, since it uses less digits than its factorization.

405795404511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18073 (or 18070 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 405795404511 in words is "four hundred five billion, seven hundred ninety-five million, four hundred four thousand, five hundred eleven".