4268726400 has 192 divisors, whose sum is σ = 14672185920. Its totient is φ = 1088778240.

The previous prime is 4268726383. The next prime is 4268726411. The reversal of 4268726400 is 46278624.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×4268726400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211134 + ... + 230466.

It is an arithmetic number, because the mean of its divisors is an integer number (76417635).

Almost surely, 2^4268726400 is an apocalyptic number.

4268726400 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 4268726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336092960).

4268726400 is an abundant number, since it is smaller than the sum of its proper divisors (10403459520).

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

4268726400 is a wasteful number, since it uses less digits than its factorization.

4268726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19383 (or 19366 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 4268726400 is about 65335.4911208296. The cubic root of 4268726400 is about 1622.1814842115.

The spelling of 4268726400 in words is "four billion, two hundred sixty-eight million, seven hundred twenty-six thousand, four hundred".