413043440414032 has 40 divisors (see below), whose sum is σ = 835779209117760. Its totient is φ = 197373819202560.

The previous prime is 413043440414029. The next prime is 413043440414057. The reversal of 413043440414032 is 230414044340314.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 413043440413982 and 413043440414000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 478817857 + ... + 479679712.

It is an arithmetic number, because the mean of its divisors is an integer number (20894480227944).

Almost surely, 2^{413043440414032} is an apocalyptic number.

It is an amenable number.

413043440414032 is an abundant number, since it is smaller than the sum of its proper divisors (422735768703728).

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

413043440414032 is a wasteful number, since it uses less digits than its factorization.

413043440414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958498771 (or 958498765 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 37.

Adding to 413043440414032 its reverse (230414044340314), we get a palindrome (643457484754346).

The spelling of 413043440414032 in words is "four hundred thirteen trillion, forty-three billion, four hundred forty million, four hundred fourteen thousand, thirty-two".