4140384 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1247232.

The previous prime is 4140379. The next prime is 4140397. The reversal of 4140384 is 4830414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70147 + ... + 70205.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 2^4140384 is an apocalyptic number.

4140384 is the 1088-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4140384 is an abundant number, since it is smaller than the sum of its proper divisors (7834656).

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

4140384 is a wasteful number, since it uses less digits than its factorization.

4140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4140384 is about 2034.7933556015. The cubic root of 4140384 is about 160.5758417199.

Adding to 4140384 its reverse (4830414), we get a palindrome (8970798).

The spelling of 4140384 in words is "four million, one hundred forty thousand, three hundred eighty-four".