4016661408 has 144 divisors (see below), whose sum is σ = 12095909280. Its totient is φ = 1260790272.

The previous prime is 4016661377. The next prime is 4016661521. The reversal of 4016661408 is 8041666104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4016661408² = 32267137733033084928, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944535 + ... + 948777.

It is an arithmetic number, because the mean of its divisors is an integer number (83999370).

Almost surely, 2^4016661408 is an apocalyptic number.

4016661408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4016661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047954640).

4016661408 is an abundant number, since it is smaller than the sum of its proper divisors (8079247872).

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

4016661408 is a wasteful number, since it uses less digits than its factorization.

4016661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4451 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4016661408 is about 63377.1363190228. The cubic root of 4016661408 is about 1589.6020268948.

The spelling of 4016661408 in words is "four billion, sixteen million, six hundred sixty-one thousand, four hundred eight".