4226272400 has 120 divisors (see below), whose sum is σ = 11654146944. Its totient is φ = 1442764800.

The previous prime is 4226272363. The next prime is 4226272441. The reversal of 4226272400 is 42726224.

It is a happy number.

It is a super-2 number, since 2×4226272400² = 35722756798003520000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 671669 + ... + 677931.

Almost surely, 2^4226272400 is an apocalyptic number.

4226272400 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 4226272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827073472).

4226272400 is an abundant number, since it is smaller than the sum of its proper divisors (7427874544).

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

4226272400 is a wasteful number, since it uses less digits than its factorization.

4226272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6529 (or 6518 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

The square root of 4226272400 is about 65009.7869555039. The cubic root of 4226272400 is about 1616.7858336126.

Adding to 4226272400 its reverse (42726224), we get a palindrome (4268998624).

The spelling of 4226272400 in words is "four billion, two hundred twenty-six million, two hundred seventy-two thousand, four hundred".