4149102048 has 288 divisors, whose sum is σ = 14366298240. Its totient is φ = 1036385280.

The previous prime is 4149101987. The next prime is 4149102053. The reversal of 4149102048 is 8402019414.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1160103 + ... + 1163673.

It is an arithmetic number, because the mean of its divisors is an integer number (49882980).

Almost surely, 2^4149102048 is an apocalyptic number.

4149102048 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 4149102048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7183149120).

4149102048 is an abundant number, since it is smaller than the sum of its proper divisors (10217196192).

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

4149102048 is a wasteful number, since it uses less digits than its factorization.

4149102048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3630 (or 3615 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4149102048 is about 64413.5237974138. The cubic root of 4149102048 is about 1606.8846625650.

The spelling of 4149102048 in words is "four billion, one hundred forty-nine million, one hundred two thousand, forty-eight".