405413314504 has 96 divisors (see below), whose sum is σ = 878759028000. Its totient is φ = 173850589440.

The previous prime is 405413314489. The next prime is 405413314507.

405413314504 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 405413314504.

It is not an unprimeable number, because it can be changed into a prime (405413314507) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3338647 + ... + 3457945.

It is an arithmetic number, because the mean of its divisors is an integer number (9153739875).

Almost surely, 2^405413314504 is an apocalyptic number.

405413314504 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 405413314504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439379514000).

405413314504 is an abundant number, since it is smaller than the sum of its proper divisors (473345713496).

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

405413314504 is a wasteful number, since it uses less digits than its factorization.

405413314504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119435 (or 119408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 405413 and 314504, that added together give a palindrome (719917).

The spelling of 405413314504 in words is "four hundred five billion, four hundred thirteen million, three hundred fourteen thousand, five hundred four".