4149771264 has 352 divisors, whose sum is σ = 13294036800. Its totient is φ = 1289945088.

The previous prime is 4149771221. The next prime is 4149771289. The reversal of 4149771264 is 4621779414.

It is a congruent number.

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, 38071242 + ... + 38071350.

It is an arithmetic number, because the mean of its divisors is an integer number (37767150).

Almost surely, 2^4149771264 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 4149771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6647018400).

4149771264 is an abundant number, since it is smaller than the sum of its proper divisors (9144265536).

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

4149771264 is an equidigital number, since it uses as much as digits as its factorization.

4149771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 4149771264 is about 64418.7182734956. The cubic root of 4149771264 is about 1606.9710503427.

The spelling of 4149771264 in words is "four billion, one hundred forty-nine million, seven hundred seventy-one thousand, two hundred sixty-four".