407768063241 has 48 divisors (see below), whose sum is σ = 690247984320. Its totient is φ = 211736891520.

The previous prime is 407768063231. The next prime is 407768063243. The reversal of 407768063241 is 142360867704.

It is a happy number.

It is not a de Polignac number, because 407768063241 - 2¹¹ = 407768061193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (407768063243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3810235 + ... + 3915791.

It is an arithmetic number, because the mean of its divisors is an integer number (14380166340).

Almost surely, 2^407768063241 is an apocalyptic number.

It is an amenable number.

407768063241 is a deficient number, since it is larger than the sum of its proper divisors (282479921079).

407768063241 is a wasteful number, since it uses less digits than its factorization.

407768063241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107974 (or 107967 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 407768063241 in words is "four hundred seven billion, seven hundred sixty-eight million, sixty-three thousand, two hundred forty-one".