416414198049408 has 256 divisors, whose sum is σ = 1330932813840000. Its totient is φ = 127411647307776.

The previous prime is 416414198049401. The next prime is 416414198049433. The reversal of 416414198049408 is 804940891414614.

It is a happy number.

416414198049408 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 141 + 9 + 80 + 4 + 9 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (416414198049401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17847493 + ... + 33931716.

Almost surely, 2^{416414198049408} is an apocalyptic number.

416414198049408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416414198049408 is an abundant number, since it is smaller than the sum of its proper divisors (914518615790592).

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

416414198049408 is a wasteful number, since it uses less digits than its factorization.

416414198049408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51779424 (or 51779406 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 416414198049408 in words is "four hundred sixteen trillion, four hundred fourteen billion, one hundred ninety-eight million, forty-nine thousand, four hundred eight".