416006247204 has 18 divisors (see below), whose sum is σ = 1051571347190. Its totient is φ = 138668749056.

The previous prime is 416006247199. The next prime is 416006247221. The reversal of 416006247204 is 402742600614.

416006247204 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 0 + 624 + 7 + 20 + 4 = 666.

416006247204 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 415963082304 + 43164900 = 644952^2 + 6570^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×416006247204² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11555729089 = 416006247204 / (4 + 1 + 6 + 0 + 0 + 6 + 2 + 4 + 7 + 2 + 0 + 4).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5777864509 + ... + 5777864580.

Almost surely, 2^416006247204 is an apocalyptic number.

It is an amenable number.

416006247204 is an abundant number, since it is smaller than the sum of its proper divisors (635565099986).

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

416006247204 is a wasteful number, since it uses less digits than its factorization.

416006247204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11555729099 (or 11555729094 counting only the distinct ones).

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

Adding to 416006247204 its reverse (402742600614), we get a palindrome (818748847818).

The spelling of 416006247204 in words is "four hundred sixteen billion, six million, two hundred forty-seven thousand, two hundred four".