4119840 has 72 divisors (see below), whose sum is σ = 14063868. Its totient is φ = 1098240.

The previous prime is 4119833. The next prime is 4119847. The reversal of 4119840 is 489114.

It is an interprime number because it is at equal distance from previous prime (4119833) and next prime (4119847).

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 7056 = 2028^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4119847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10 + ... + 2870.

Almost surely, 2^4119840 is an apocalyptic number.

4119840 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 4119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7031934).

4119840 is an abundant number, since it is smaller than the sum of its proper divisors (9944028).

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

4119840 is a wasteful number, since it uses less digits than its factorization.

4119840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4119840 is about 2029.7388994647. The cubic root of 4119840 is about 160.3098163658.

It can be divided in two parts, 41 and 19840, that added together give a square (19881 = 141²).

The spelling of 4119840 in words is "four million, one hundred nineteen thousand, eight hundred forty".