405340213440 has 112 divisors (see below), whose sum is σ = 1299697619040. Its totient is φ = 107020492800.

The previous prime is 405340213423. The next prime is 405340213441. The reversal of 405340213440 is 44312043504.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 405340213398 and 405340213407.

It is not an unprimeable number, because it can be changed into a prime (405340213441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993285 + ... + 2187204.

Almost surely, 2^405340213440 is an apocalyptic number.

405340213440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405340213440 is an abundant number, since it is smaller than the sum of its proper divisors (894357405600).

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

405340213440 is a wasteful number, since it uses less digits than its factorization.

405340213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180610 (or 4180600 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 405340213440 its reverse (44312043504), we get a palindrome (449652256944).

The spelling of 405340213440 in words is "four hundred five billion, three hundred forty million, two hundred thirteen thousand, four hundred forty".