4115341440 has 384 divisors, whose sum is σ = 16580304000. Its totient is φ = 940197888.

The previous prime is 4115341411. The next prime is 4115341457. The reversal of 4115341440 is 441435114.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974639 + ... + 1976721.

It is an arithmetic number, because the mean of its divisors is an integer number (43177875).

Almost surely, 2^4115341440 is an apocalyptic number.

4115341440 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 4115341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8290152000).

4115341440 is an abundant number, since it is smaller than the sum of its proper divisors (12464962560).

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

4115341440 is a wasteful number, since it uses less digits than its factorization.

4115341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4115341440 is about 64150.9270392876. The cubic root of 4115341440 is about 1602.5144630190.

Adding to 4115341440 its reverse (441435114), we get a palindrome (4556776554).

The spelling of 4115341440 in words is "four billion, one hundred fifteen million, three hundred forty-one thousand, four hundred forty".