416047122432 has 108 divisors (see below), whose sum is σ = 1201873445955. Its totient is φ = 138653184000.

The previous prime is 416047122391. The next prime is 416047122443. The reversal of 416047122432 is 234221740614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

416047122432 is a `hidden beast` number, since 4 + 1 + 60 + 47 + 122 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208023561216 + 208023561216 = 456096^2 + 456096^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=456096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 87568057 + ... + 87572807.

Almost surely, 2^416047122432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416047122432

416047122432 is an abundant number, since it is smaller than the sum of its proper divisors (785826323523).

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

416047122432 is an frugal number, since it uses more digits than its factorization.

416047122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9530 (or 4756 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 416047122432 in words is "four hundred sixteen billion, forty-seven million, one hundred twenty-two thousand, four hundred thirty-two".