413334424040 has 64 divisors (see below), whose sum is σ = 941628402000. Its totient is φ = 163275366400.

The previous prime is 413334424007. The next prime is 413334424079. The reversal of 413334424040 is 40424433314.

It can be written as a sum of positive squares in 8 ways, for example, as 316273513924 + 97060910116 = 562382^2 + 311546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 413334423988 and 413334424006.

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, 1440056 + ... + 1703064.

Almost surely, 2^413334424040 is an apocalyptic number.

413334424040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413334424040 is an abundant number, since it is smaller than the sum of its proper divisors (528293977960).

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

413334424040 is a wasteful number, since it uses less digits than its factorization.

413334424040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263510 (or 263506 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 413334424040 its reverse (40424433314), we get a palindrome (453758857354).

The spelling of 413334424040 in words is "four hundred thirteen billion, three hundred thirty-four million, four hundred twenty-four thousand, forty".