4117302311136 has 48 divisors (see below), whose sum is σ = 12351906935424. Its totient is φ = 1176372088704.

The previous prime is 4117302311107. The next prime is 4117302311159. The reversal of 4117302311136 is 6311132037114.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4117302311136² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4117302311097 and 4117302311106.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 3063468310 + ... + 3063469653.

It is an arithmetic number, because the mean of its divisors is an integer number (257331394488).

Almost surely, 2^{4117302311136} is an apocalyptic number.

It is an amenable number.

4117302311136 is an abundant number, since it is smaller than the sum of its proper divisors (8234604624288).

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

4117302311136 is a wasteful number, since it uses less digits than its factorization.

4117302311136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6126937983 (or 6126937975 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 4117302311136 in words is "four trillion, one hundred seventeen billion, three hundred two million, three hundred eleven thousand, one hundred thirty-six".