413400040 has 16 divisors (see below), whose sum is σ = 930150180. Its totient is φ = 165360000.

The previous prime is 413400037. The next prime is 413400041. The reversal of 413400040 is 40004314.

It can be written as a sum of positive squares in 2 ways, for example, as 410224516 + 3175524 = 20254^2 + 1782^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413399987 and 413400023.

It is not an unprimeable number, because it can be changed into a prime (413400041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5167461 + ... + 5167540.

Almost surely, 2^413400040 is an apocalyptic number.

413400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413400040 is an abundant number, since it is smaller than the sum of its proper divisors (516750140).

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

413400040 is a wasteful number, since it uses less digits than its factorization.

413400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10335012 (or 10335008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 413400040 is about 20332.2413914453. The cubic root of 413400040 is about 744.9437910838.

Adding to 413400040 its reverse (40004314), we get a palindrome (453404354).

The spelling of 413400040 in words is "four hundred thirteen million, four hundred thousand, forty".