4115781504 has 128 divisors (see below), whose sum is σ = 12284676000. Its totient is φ = 1356410880.

The previous prime is 4115781503. The next prime is 4115781511. The reversal of 4115781504 is 4051875114.

4115781504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4115781503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300894 + ... + 314274.

Almost surely, 2^4115781504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4115781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142338000).

4115781504 is an abundant number, since it is smaller than the sum of its proper divisors (8168894496).

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

4115781504 is a wasteful number, since it uses less digits than its factorization.

4115781504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13493 (or 13475 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 4115781504 is about 64154.3568590630. The cubic root of 4115781504 is about 1602.5715813083.

The spelling of 4115781504 in words is "four billion, one hundred fifteen million, seven hundred eighty-one thousand, five hundred four".