4274121600 has 768 divisors, whose sum is σ = 18455961600. Its totient is φ = 945561600.

The previous prime is 4274121571. The next prime is 4274121613. The reversal of 4274121600 is 61214724.

4274121600 is a `hidden beast` number, since 42 + 7 + 4 + 12 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 22377505 + ... + 22377695.

It is an arithmetic number, because the mean of its divisors is an integer number (24031200).

Almost surely, 2^4274121600 is an apocalyptic number.

4274121600 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 4274121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9227980800).

4274121600 is an abundant number, since it is smaller than the sum of its proper divisors (14181840000).

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

4274121600 is a wasteful number, since it uses less digits than its factorization.

4274121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4274121600 is about 65376.7665153302. The cubic root of 4274121600 is about 1622.8646160659.

The spelling of 4274121600 in words is "four billion, two hundred seventy-four million, one hundred twenty-one thousand, six hundred".