416378457417 has 16 divisors (see below), whose sum is σ = 602440711488. Its totient is φ = 254276917440.

The previous prime is 416378457409. The next prime is 416378457427. The reversal of 416378457417 is 714754873614.

It is a happy number.

It is not a de Polignac number, because 416378457417 - 2³ = 416378457409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416378457427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40744398 + ... + 40754615.

It is an arithmetic number, because the mean of its divisors is an integer number (37652544468).

Almost surely, 2^416378457417 is an apocalyptic number.

It is an amenable number.

416378457417 is a deficient number, since it is larger than the sum of its proper divisors (186062254071).

416378457417 is a wasteful number, since it uses less digits than its factorization.

416378457417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81499160.

The product of its digits is 15805440, while the sum is 57.

The spelling of 416378457417 in words is "four hundred sixteen billion, three hundred seventy-eight million, four hundred fifty-seven thousand, four hundred seventeen".