4116633313440 has 96 divisors (see below), whose sum is σ = 13005874365120. Its totient is φ = 1094511366144.

The previous prime is 4116633313423. The next prime is 4116633313519. The reversal of 4116633313440 is 443133366114.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12562750 + ... + 12886269.

It is an arithmetic number, because the mean of its divisors is an integer number (135477857970).

Almost surely, 2^{4116633313440} is an apocalyptic number.

4116633313440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4116633313440 is an abundant number, since it is smaller than the sum of its proper divisors (8889241051680).

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

4116633313440 is a wasteful number, since it uses less digits than its factorization.

4116633313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25449374 (or 25449366 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

Adding to 4116633313440 its reverse (443133366114), we get a palindrome (4559766679554).

The spelling of 4116633313440 in words is "four trillion, one hundred sixteen billion, six hundred thirty-three million, three hundred thirteen thousand, four hundred forty".