4274726400 has 1200 divisors, whose sum is σ = 19646837760. Its totient is φ = 895795200.

The previous prime is 4274726389. The next prime is 4274726459. The reversal of 4274726400 is 46274724.

It is a happy number.

4274726400 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 7 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 137894385 + ... + 137894415.

Almost surely, 2^4274726400 is an apocalyptic number.

4274726400 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 4274726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9823418880).

4274726400 is an abundant number, since it is smaller than the sum of its proper divisors (15372111360).

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

4274726400 is a wasteful number, since it uses less digits than its factorization.

4274726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4274726400 is about 65381.3918481398. The cubic root of 4274726400 is about 1622.9411590628.

The spelling of 4274726400 in words is "four billion, two hundred seventy-four million, seven hundred twenty-six thousand, four hundred".