4268665941120 has 2560 divisors, whose sum is σ = 19517737536000. Its totient is φ = 866843099136.

The previous prime is 4268665941097. The next prime is 4268665941143. The reversal of 4268665941120 is 211495668624.

It is a happy number.

4268665941120 is a `hidden beast` number, since 4 + 26 + 8 + 6 + 6 + 594 + 1 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4268665941097) and next prime (4268665941143).

It is a super-3 number, since 3×4268665941120³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7398034272 + ... + 7398034848.

It is an arithmetic number, because the mean of its divisors is an integer number (7624116225).

Almost surely, 2^{4268665941120} is an apocalyptic number.

4268665941120 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 4268665941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9758868768000).

4268665941120 is an abundant number, since it is smaller than the sum of its proper divisors (15249071594880).

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

4268665941120 is a wasteful number, since it uses less digits than its factorization.

4268665941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 4268665941120 in words is "four trillion, two hundred sixty-eight billion, six hundred sixty-five million, nine hundred forty-one thousand, one hundred twenty".