4116633840 has 720 divisors, whose sum is σ = 16869206016. Its totient is φ = 923788800.

The previous prime is 4116633799. The next prime is 4116633883. The reversal of 4116633840 is 483366114.

It is a happy number.

4116633840 is a `hidden beast` number, since 4 + 1 + 16 + 633 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 4116633795 and 4116633804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132794625 + ... + 132794655.

Almost surely, 2^4116633840 is an apocalyptic number.

4116633840 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 4116633840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8434603008).

4116633840 is an abundant number, since it is smaller than the sum of its proper divisors (12752572176).

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

4116633840 is a wasteful number, since it uses less digits than its factorization.

4116633840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4116633840 is about 64160.9993687754. Note that the first 3 decimals coincide. The cubic root of 4116633840 is about 1602.6821990343.

Adding to 4116633840 its reverse (483366114), we get a palindrome (4599999954).

The spelling of 4116633840 in words is "four billion, one hundred sixteen million, six hundred thirty-three thousand, eight hundred forty".