4120416 has 96 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1296000.

The previous prime is 4120411. The next prime is 4120423. The reversal of 4120416 is 6140214.

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 16541.

It is an arithmetic number, because the mean of its divisors is an integer number (132300).

Almost surely, 2^4120416 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 4120416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

4120416 is an abundant number, since it is smaller than the sum of its proper divisors (8580384).

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

4120416 is a wasteful number, since it uses less digits than its factorization.

4120416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4120416 is about 2029.8807846768. The cubic root of 4120416 is about 160.3172870565.

The spelling of 4120416 in words is "four million, one hundred twenty thousand, four hundred sixteen".