405165561504 has 96 divisors (see below), whose sum is σ = 1162475375040. Its totient is φ = 122541619200.

The previous prime is 405165561499. The next prime is 405165561539.

405165561504 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 181962 + ... + 918390.

It is an arithmetic number, because the mean of its divisors is an integer number (12109118490).

Almost surely, 2^405165561504 is an apocalyptic number.

405165561504 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 405165561504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581237687520).

405165561504 is an abundant number, since it is smaller than the sum of its proper divisors (757309813536).

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

405165561504 is a wasteful number, since it uses less digits than its factorization.

405165561504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736974 (or 736966 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 42.

It can be divided in two parts, 405165 and 561504, that added together give a palindrome (966669).

The spelling of 405165561504 in words is "four hundred five billion, one hundred sixty-five million, five hundred sixty-one thousand, five hundred four".