4199040 has 144 divisors (see below), whose sum is σ = 15056730. Its totient is φ = 1119744.

The previous prime is 4199029. The next prime is 4199071. The reversal of 4199040 is 409914.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 419904 = 1944^2 + 648^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4198995 and 4199013.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 839806 + ... + 839810.

Almost surely, 2^4199040 is an apocalyptic number.

4199040 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 4199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7528365).

4199040 is an abundant number, since it is smaller than the sum of its proper divisors (10857690).

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

4199040 is an frugal number, since it uses more digits than its factorization.

4199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4199040 is about 2049.1559237891. The cubic root of 4199040 is about 161.3305708761.

4199040 divided by its product of nonzero digits (1296) gives a triangular number (3240 = T₈₀).

The spelling of 4199040 in words is "four million, one hundred ninety-nine thousand, forty".