413135040 has 112 divisors (see below), whose sum is σ = 1316626272. Its totient is φ = 109756416.

The previous prime is 413135033. The next prime is 413135083. The reversal of 413135040 is 40531314.

It is a super-2 number, since 2×413135040² = 341361122551603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413134998 and 413135016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322882 + ... + 324158.

Almost surely, 2^413135040 is an apocalyptic number.

413135040 is a gapful number since it is divisible by the number (40) 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 413135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658313136).

413135040 is an abundant number, since it is smaller than the sum of its proper divisors (903491232).

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

413135040 is a wasteful number, since it uses less digits than its factorization.

413135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 413135040 is about 20325.7236033554. The cubic root of 413135040 is about 744.7845810514.

Adding to 413135040 its reverse (40531314), we get a palindrome (453666354).

The spelling of 413135040 in words is "four hundred thirteen million, one hundred thirty-five thousand, forty".