4166037408 has 192 divisors, whose sum is σ = 12550930560. Its totient is φ = 1198620672.

The previous prime is 4166037349. The next prime is 4166037419. The reversal of 4166037408 is 8047306614.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797116 + ... + 3798212.

It is an arithmetic number, because the mean of its divisors is an integer number (65369430).

Almost surely, 2^4166037408 is an apocalyptic number.

4166037408 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 4166037408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6275465280).

4166037408 is an abundant number, since it is smaller than the sum of its proper divisors (8384893152).

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

4166037408 is a wasteful number, since it uses less digits than its factorization.

4166037408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4166037408 is about 64544.8480360749. The cubic root of 4166037408 is about 1609.0679645894.

The spelling of 4166037408 in words is "four billion, one hundred sixty-six million, thirty-seven thousand, four hundred eight".