4111838640 has 800 divisors, whose sum is σ = 18552145920. Its totient is φ = 819652608.

The previous prime is 4111838629. The next prime is 4111838681. The reversal of 4111838640 is 468381114.

It is a happy number.

4111838640 is a `hidden beast` number, since 4 + 1 + 1 + 1 + 8 + 3 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4111838595 and 4111838604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11203737 + ... + 11204103.

Almost surely, 2^4111838640 is an apocalyptic number.

4111838640 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 4111838640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9276072960).

4111838640 is an abundant number, since it is smaller than the sum of its proper divisors (14440307280).

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

4111838640 is a wasteful number, since it uses less digits than its factorization.

4111838640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4111838640 is about 64123.6199851506. The cubic root of 4111838640 is about 1602.0596703777.

The spelling of 4111838640 in words is "four billion, one hundred eleven million, eight hundred thirty-eight thousand, six hundred forty".