4041010440 has 384 divisors, whose sum is σ = 14374713600. Its totient is φ = 981227520.

The previous prime is 4041010417. The next prime is 4041010451. The reversal of 4041010440 is 440101404.

4041010440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25738842 + ... + 25738998.

It is an arithmetic number, because the mean of its divisors is an integer number (37434150).

Almost surely, 2^4041010440 is an apocalyptic number.

4041010440 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 4041010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7187356800).

4041010440 is an abundant number, since it is smaller than the sum of its proper divisors (10333703160).

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

4041010440 is a wasteful number, since it uses less digits than its factorization.

4041010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4041010440 is about 63568.9424168752. The cubic root of 4041010440 is about 1592.8076180134.

Adding to 4041010440 its reverse (440101404), we get a palindrome (4481111844).

The spelling of 4041010440 in words is "four billion, forty-one million, ten thousand, four hundred forty".