405405504504 has 768 divisors, whose sum is σ = 1585059840000. Its totient is φ = 90110776320.

The previous prime is 405405504479. The next prime is 405405504521.

405405504504 is a `hidden beast` number, since 4 + 0 + 54 + 0 + 550 + 4 + 50 + 4 = 666.

405405504504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64357147 + ... + 64363445.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880000).

Almost surely, 2^405405504504 is an apocalyptic number.

405405504504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405405504504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920000).

405405504504 is an abundant number, since it is smaller than the sum of its proper divisors (1179654335496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

405405504504 is a wasteful number, since it uses less digits than its factorization.

405405504504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6408 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 405405 and 504504, that added together give a palindrome (909909).

The spelling of 405405504504 in words is "four hundred five billion, four hundred five million, five hundred four thousand, five hundred four".