4011171840 has 672 divisors, whose sum is σ = 16029651456. Its totient is φ = 955514880.

The previous prime is 4011171763. The next prime is 4011171841. The reversal of 4011171840 is 481711104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4011171841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129392625 + ... + 129392655.

It is an arithmetic number, because the mean of its divisors is an integer number (23853648).

Almost surely, 2^4011171840 is an apocalyptic number.

4011171840 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 4011171840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014825728).

4011171840 is an abundant number, since it is smaller than the sum of its proper divisors (12018479616).

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

4011171840 is an equidigital number, since it uses as much as digits as its factorization.

4011171840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 4011171840 is about 63333.8127701151. The cubic root of 4011171840 is about 1588.8775274552.

Adding to 4011171840 its reverse (481711104), we get a palindrome (4492882944).

The spelling of 4011171840 in words is "four billion, eleven million, one hundred seventy-one thousand, eight hundred forty".