4114955995008 has 256 divisors, whose sum is σ = 11337796454400. Its totient is φ = 1322345840640.

The previous prime is 4114955994953. The next prime is 4114955995063. The reversal of 4114955995008 is 8005995594114.

It is an interprime number because it is at equal distance from previous prime (4114955994953) and next prime (4114955995063).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4038229123 + ... + 4038230141.

It is an arithmetic number, because the mean of its divisors is an integer number (44288267400).

Almost surely, 2^{4114955995008} is an apocalyptic number.

4114955995008 is a gapful number since it is divisible by the number (48) 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 4114955995008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5668898227200).

4114955995008 is an abundant number, since it is smaller than the sum of its proper divisors (7222840459392).

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

4114955995008 is an equidigital number, since it uses as much as digits as its factorization.

4114955995008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 60.

The spelling of 4114955995008 in words is "four trillion, one hundred fourteen billion, nine hundred fifty-five million, nine hundred ninety-five thousand, eight".