4199940 has 36 divisors (see below), whose sum is σ = 12740364. Its totient is φ = 1119936.

The previous prime is 4199929. The next prime is 4199957. The reversal of 4199940 is 499914.

It can be written as a sum of positive squares in 2 ways, for example, as 695556 + 3504384 = 834^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁶ + 1 + 9² + 9³ + 9³ + 4¹¹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4199895 and 4199904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11487 + ... + 11846.

It is an arithmetic number, because the mean of its divisors is an integer number (353899).

Almost surely, 2^4199940 is an apocalyptic number.

It is an amenable number.

4199940 is an abundant number, since it is smaller than the sum of its proper divisors (8540424).

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

4199940 is a wasteful number, since it uses less digits than its factorization.

4199940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23348 (or 23343 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4199940 is about 2049.3755146385. The cubic root of 4199940 is about 161.3420962994.

The spelling of 4199940 in words is "four million, one hundred ninety-nine thousand, nine hundred forty".