4111828560 has 240 divisors, whose sum is σ = 16149454464. Its totient is φ = 917941248.

The previous prime is 4111828559. The next prime is 4111828571. The reversal of 4111828560 is 658281114.

4111828560 is a `hidden beast` number, since 4 + 1 + 11 + 82 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

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, 207234 + ... + 226206.

Almost surely, 2^4111828560 is an apocalyptic number.

4111828560 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 4111828560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8074727232).

4111828560 is an abundant number, since it is smaller than the sum of its proper divisors (12037625904).

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

4111828560 is a wasteful number, since it uses less digits than its factorization.

4111828560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19042 (or 19033 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 4111828560 is about 64123.5413869197. The cubic root of 4111828560 is about 1602.0583612492.

The spelling of 4111828560 in words is "four billion, one hundred eleven million, eight hundred twenty-eight thousand, five hundred sixty".