4149120 has 64 divisors (see below), whose sum is σ = 13231440. Its totient is φ = 1105920.

The previous prime is 4149107. The next prime is 4149121. The reversal of 4149120 is 219414.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 840 + ... + 3000.

Almost surely, 2^4149120 is an apocalyptic number.

4149120 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 4149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615720).

4149120 is an abundant number, since it is smaller than the sum of its proper divisors (9082320).

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

4149120 is a wasteful number, since it uses less digits than its factorization.

4149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 4149120 is about 2036.9388797900. The cubic root of 4149120 is about 160.6886980075.

The spelling of 4149120 in words is "four million, one hundred forty-nine thousand, one hundred twenty".