4181940 has 72 divisors (see below), whose sum is σ = 14501760. Its totient is φ = 955584.

The previous prime is 4181927. The next prime is 4181941. The reversal of 4181940 is 491814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400 + ... + 2919.

Almost surely, 2^4181940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4181940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250880).

4181940 is an abundant number, since it is smaller than the sum of its proper divisors (10319820).

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

4181940 is a wasteful number, since it uses less digits than its factorization.

4181940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3341 (or 3336 counting only the distinct ones).

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

The square root of 4181940 is about 2044.9792174983. The cubic root of 4181940 is about 161.1112742325. Note that the first 3 decimals are identical.

The spelling of 4181940 in words is "four million, one hundred eighty-one thousand, nine hundred forty".