4111507680 has 288 divisors, whose sum is σ = 15554488320. Its totient is φ = 909296640.

The previous prime is 4111507663. The next prime is 4111507693. The reversal of 4111507680 is 867051114.

It is a happy number.

It is a congruent number.

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, 726301 + ... + 731939.

It is an arithmetic number, because the mean of its divisors is an integer number (54008640).

Almost surely, 2^4111507680 is an apocalyptic number.

4111507680 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 4111507680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777244160).

4111507680 is an abundant number, since it is smaller than the sum of its proper divisors (11442980640).

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

4111507680 is a wasteful number, since it uses less digits than its factorization.

4111507680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 4111507680 is about 64121.0392928873. The cubic root of 4111507680 is about 1602.0166862092.

Adding to 4111507680 its reverse (867051114), we get a palindrome (4978558794).

The spelling of 4111507680 in words is "four billion, one hundred eleven million, five hundred seven thousand, six hundred eighty".