4268891120 has 80 divisors (see below), whose sum is σ = 11251259040. Its totient is φ = 1493240832.

The previous prime is 4268891009. The next prime is 4268891161. The reversal of 4268891120 is 211988624.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×4268891120³ (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 88259 + ... + 127778.

It is an arithmetic number, because the mean of its divisors is an integer number (140640738).

Almost surely, 2^4268891120 is an apocalyptic number.

4268891120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268891120 is an abundant number, since it is smaller than the sum of its proper divisors (6982367920).

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

4268891120 is a wasteful number, since it uses less digits than its factorization.

4268891120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216082 (or 216076 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 4268891120 is about 65336.7516792808. The cubic root of 4268891120 is about 1622.2023493183.

The spelling of 4268891120 in words is "four billion, two hundred sixty-eight million, eight hundred ninety-one thousand, one hundred twenty".