4101245440 has 80 divisors (see below), whose sum is σ = 10150778880. Its totient is φ = 1587548160.

The previous prime is 4101245431. The next prime is 4101245441. The reversal of 4101245440 is 445421014.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4101245441) 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 7 ways as a sum of consecutive naturals, for example, 53521 + ... + 105199.

It is an arithmetic number, because the mean of its divisors is an integer number (126884736).

Almost surely, 2^4101245440 is an apocalyptic number.

4101245440 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 4101245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075389440).

4101245440 is an abundant number, since it is smaller than the sum of its proper divisors (6049533440).

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

4101245440 is an equidigital number, since it uses as much as digits as its factorization.

4101245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51733 (or 51717 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4101245440 is about 64040.9668883911. The cubic root of 4101245440 is about 1600.6827086516.

Adding to 4101245440 its reverse (445421014), we get a palindrome (4546666454).

The spelling of 4101245440 in words is "four billion, one hundred one million, two hundred forty-five thousand, four hundred forty".