4116801024 has 480 divisors, whose sum is σ = 14656561920. Its totient is φ = 1128701952.

The previous prime is 4116801019. The next prime is 4116801043. The reversal of 4116801024 is 4201086114.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256367 + ... + 25256529.

It is an arithmetic number, because the mean of its divisors is an integer number (30534504).

Almost surely, 2^4116801024 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 4116801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328280960).

4116801024 is an abundant number, since it is smaller than the sum of its proper divisors (10539760896).

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

4116801024 is an equidigital number, since it uses as much as digits as its factorization.

4116801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 4116801024 is about 64162.3022030850. The cubic root of 4116801024 is about 1602.7038946886.

Adding to 4116801024 its reverse (4201086114), we get a palindrome (8317887138).

The spelling of 4116801024 in words is "four billion, one hundred sixteen million, eight hundred one thousand, twenty-four".