413431431344140 has 96 divisors (see below), whose sum is σ = 1003344794835264. Its totient is φ = 141425095311360.

The previous prime is 413431431344119. The next prime is 413431431344153. The reversal of 413431431344140 is 41443134134314.

It is a super-2 number, since 2×413431431344140² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413431431344093 and 413431431344102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19859287 + ... + 34946446.

It is an arithmetic number, because the mean of its divisors is an integer number (10451508279534).

Almost surely, 2^{413431431344140} is an apocalyptic number.

It is an amenable number.

413431431344140 is an abundant number, since it is smaller than the sum of its proper divisors (589913363491124).

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

413431431344140 is a wasteful number, since it uses less digits than its factorization.

413431431344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54807787 (or 54807785 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

Adding to 413431431344140 its reverse (41443134134314), we get a palindrome (454874565478454).

The spelling of 413431431344140 in words is "four hundred thirteen trillion, four hundred thirty-one billion, four hundred thirty-one million, three hundred forty-four thousand, one hundred forty".