405343343504 has 40 divisors (see below), whose sum is σ = 857782211520. Its totient is φ = 184024656000.

The previous prime is 405343343497. The next prime is 405343343551.

405343343504 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×405343343504² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1243172 + ... + 1534979.

It is an arithmetic number, because the mean of its divisors is an integer number (21444555288).

Almost surely, 2^405343343504 is an apocalyptic number.

405343343504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

405343343504 is an abundant number, since it is smaller than the sum of its proper divisors (452438868016).

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

405343343504 is a wasteful number, since it uses less digits than its factorization.

405343343504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778999 (or 2778993 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

It can be divided in two parts, 405343 and 343504, that added together give a palindrome (748847).

The spelling of 405343343504 in words is "four hundred five billion, three hundred forty-three million, three hundred forty-three thousand, five hundred four".