4149040 has 80 divisors (see below), whose sum is σ = 11427840. Its totient is φ = 1370880.

The previous prime is 4149029. The next prime is 4149053. The reversal of 4149040 is 409414.

4149040 = T₂₅₁ + T₂₅₂ + ... + T₃₄₃.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17241 + ... + 17479.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

Almost surely, 2^4149040 is an apocalyptic number.

4149040 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 4149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713920).

4149040 is an abundant number, since it is smaller than the sum of its proper divisors (7278800).

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

4149040 is a wasteful number, since it uses less digits than its factorization.

4149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4149040 is about 2036.9192423854. The cubic root of 4149040 is about 160.6876652440.

The spelling of 4149040 in words is "four million, one hundred forty-nine thousand, forty".