416120016 has 80 divisors (see below), whose sum is σ = 1225796544. Its totient is φ = 120502272.

The previous prime is 416120011. The next prime is 416120017. The reversal of 416120016 is 610021614.

It is a super-3 number, since 3×416120016³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 416119974 and 416120001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416120011) 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, 9006 + ... + 30221.

Almost surely, 2^416120016 is an apocalyptic number.

It is an amenable number.

416120016 is an abundant number, since it is smaller than the sum of its proper divisors (809676528).

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

416120016 is a wasteful number, since it uses less digits than its factorization.

416120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39268 (or 39262 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 416120016 is about 20399.0199764597. The cubic root of 416120016 is about 746.5740130921.

The spelling of 416120016 in words is "four hundred sixteen million, one hundred twenty thousand, sixteen".