413145363104037 has 24 divisors (see below), whose sum is σ = 601128602028864. Its totient is φ = 273416561630784.

The previous prime is 413145363104027. The next prime is 413145363104057. The reversal of 413145363104037 is 730401363541314.

413145363104037 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 4 + 5 + 3 + 631 + 0 + 4 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 413145363104037 - 2⁶ = 413145363103973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 413145363103983 and 413145363104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413145363104027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104395008 + ... + 108280230.

It is an arithmetic number, because the mean of its divisors is an integer number (25047025084536).

Almost surely, 2^{413145363104037} is an apocalyptic number.

It is an amenable number.

413145363104037 is a deficient number, since it is larger than the sum of its proper divisors (187983238924827).

413145363104037 is a wasteful number, since it uses less digits than its factorization.

413145363104037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971609 (or 3971606 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 413145363104037 in words is "four hundred thirteen trillion, one hundred forty-five billion, three hundred sixty-three million, one hundred four thousand, thirty-seven".