666142416 has 120 divisors (see below), whose sum is σ = 2022386184. Its totient is φ = 203857920.

The previous prime is 666142381. The next prime is 666142427. The reversal of 666142416 is 614241666.

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 662547600 = 1896^2 + 25740^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97050 + ... + 103686.

Almost surely, 2^666142416 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 666142416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011193092).

666142416 is an abundant number, since it is smaller than the sum of its proper divisors (1356243768).

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

666142416 is a wasteful number, since it uses less digits than its factorization.

666142416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6700 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 666142416 is about 25809.7349075886. The cubic root of 666142416 is about 873.3514171161.

The spelling of 666142416 in words is "six hundred sixty-six million, one hundred forty-two thousand, four hundred sixteen".