416668207104 has 72 divisors (see below), whose sum is σ = 1203414333030. Its totient is φ = 138889396224.

The previous prime is 416668206991. The next prime is 416668207121. The reversal of 416668207104 is 401702866614.

It can be written as a sum of positive squares in only one way, i.e., 384955720704 + 31712486400 = 620448^2 + 178080^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×416668207104² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 416668207104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11284417 + ... + 11321280.

Almost surely, 2^416668207104 is an apocalyptic number.

It is an amenable number.

416668207104 is an abundant number, since it is smaller than the sum of its proper divisors (786746125926).

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

416668207104 is a wasteful number, since it uses less digits than its factorization.

416668207104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22605725 (or 22605702 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 416668207104 in words is "four hundred sixteen billion, six hundred sixty-eight million, two hundred seven thousand, one hundred four".