416473721000 has 64 divisors (see below), whose sum is σ = 995283694080. Its totient is φ = 163045012800.

The previous prime is 416473720913. The next prime is 416473721003. The reversal of 416473721000 is 127374614.

It is not an unprimeable number, because it can be changed into a prime (416473721003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4383572 + ... + 4477571.

It is an arithmetic number, because the mean of its divisors is an integer number (15551307720).

Almost surely, 2^416473721000 is an apocalyptic number.

416473721000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416473721000 is an abundant number, since it is smaller than the sum of its proper divisors (578809973080).

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

416473721000 is a wasteful number, since it uses less digits than its factorization.

416473721000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8861211 (or 8861197 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 416473721000 in words is "four hundred sixteen billion, four hundred seventy-three million, seven hundred twenty-one thousand".