416123907472 has 80 divisors (see below), whose sum is σ = 1044521618560. Its totient is φ = 155956202496.

The previous prime is 416123907457. The next prime is 416123907481. The reversal of 416123907472 is 274709321614.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7493373 + ... + 7548700.

It is an arithmetic number, because the mean of its divisors is an integer number (13056520232).

Almost surely, 2^416123907472 is an apocalyptic number.

It is an amenable number.

416123907472 is an abundant number, since it is smaller than the sum of its proper divisors (628397711088).

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

416123907472 is a wasteful number, since it uses less digits than its factorization.

416123907472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042120 (or 15042114 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 416123907472 in words is "four hundred sixteen billion, one hundred twenty-three million, nine hundred seven thousand, four hundred seventy-two".