4149834720 has 96 divisors (see below), whose sum is σ = 13114483200. Its totient is φ = 1103024640.

The previous prime is 4149834719. The next prime is 4149834727. The reversal of 4149834720 is 274389414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4149834720² = 34442256406634956800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149834727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135381 + ... + 163179.

It is an arithmetic number, because the mean of its divisors is an integer number (136609200).

Almost surely, 2^4149834720 is an apocalyptic number.

4149834720 is a gapful number since it is divisible by the number (40) 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 4149834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6557241600).

4149834720 is an abundant number, since it is smaller than the sum of its proper divisors (8964648480).

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

4149834720 is a wasteful number, since it uses less digits than its factorization.

4149834720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28128 (or 28120 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 4149834720 is about 64419.2107992639. The cubic root of 4149834720 is about 1606.9792412709.

The spelling of 4149834720 in words is "four billion, one hundred forty-nine million, eight hundred thirty-four thousand, seven hundred twenty".