4267822749600 has 576 divisors, whose sum is σ = 14905685975040. Its totient is φ = 1058639155200.

The previous prime is 4267822749599. The next prime is 4267822749647. The reversal of 4267822749600 is 69472287624.

4267822749600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4267822749600² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228473061 + ... + 228491739.

It is an arithmetic number, because the mean of its divisors is an integer number (25877927040).

Almost surely, 2^{4267822749600} is an apocalyptic number.

4267822749600 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 4267822749600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7452842987520).

4267822749600 is an abundant number, since it is smaller than the sum of its proper divisors (10637863225440).

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

4267822749600 is a wasteful number, since it uses less digits than its factorization.

4267822749600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18853 (or 18840 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 57.

The spelling of 4267822749600 in words is "four trillion, two hundred sixty-seven billion, eight hundred twenty-two million, seven hundred forty-nine thousand, six hundred".