4149777996 has 288 divisors, whose sum is σ = 13770207360. Its totient is φ = 1022533632.

The previous prime is 4149777971. The next prime is 4149778007. The reversal of 4149777996 is 6997779414.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

Its product of digits (24004512) is a multiple of the sum of its prime divisors (588).

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 95 ways as a sum of consecutive naturals, for example, 14981010 + ... + 14981286.

It is an arithmetic number, because the mean of its divisors is an integer number (47813220).

Almost surely, 2^4149777996 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 4149777996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885103680).

4149777996 is an abundant number, since it is smaller than the sum of its proper divisors (9620429364).

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

4149777996 is a wasteful number, since it uses less digits than its factorization.

4149777996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The square root of 4149777996 is about 64418.7705253678. The cubic root of 4149777996 is about 1606.9719193162.

The spelling of 4149777996 in words is "four billion, one hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred ninety-six".