4041600 has 96 divisors (see below), whose sum is σ = 13343640. Its totient is φ = 1075200.

The previous prime is 4041599. The next prime is 4041601. The reversal of 4041600 is 61404.

4041600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4041599) and next prime (4041601).

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4041600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9390 + ... + 9810.

Almost surely, 2^4041600 is an apocalyptic number.

4041600 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 4041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671820).

4041600 is an abundant number, since it is smaller than the sum of its proper divisors (9302040).

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

4041600 is a wasteful number, since it uses less digits than its factorization.

4041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4041600 is about 2010.3730997007. The cubic root of 4041600 is about 159.2885074713.

The spelling of 4041600 in words is "four million, forty-one thousand, six hundred".