4102441440 has 96 divisors (see below), whose sum is σ = 12941752320. Its totient is φ = 1092370944.

The previous prime is 4102441439. The next prime is 4102441459. The reversal of 4102441440 is 441442014.

It is a happy number.

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 self number, because there is not a number n which added to its sum of digits gives 4102441440.

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, 339177 + ... + 351063.

It is an arithmetic number, because the mean of its divisors is an integer number (134809920).

Almost surely, 2^4102441440 is an apocalyptic number.

4102441440 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 4102441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470876160).

4102441440 is an abundant number, since it is smaller than the sum of its proper divisors (8839310880).

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

4102441440 is a wasteful number, since it uses less digits than its factorization.

4102441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624 (or 12616 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4102441440 is about 64050.3039805433. The cubic root of 4102441440 is about 1600.8382898838.

Adding to 4102441440 its reverse (441442014), we get a palindrome (4543883454).

The spelling of 4102441440 in words is "four billion, one hundred two million, four hundred forty-one thousand, four hundred forty".