4241714400 has 648 divisors, whose sum is σ = 18998487144. Its totient is φ = 880588800.

The previous prime is 4241714359. The next prime is 4241714423. The reversal of 4241714400 is 44171424.

4241714400 is a `hidden beast` number, since 4 + 241 + 7 + 14 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880254 + ... + 3881346.

It is an arithmetic number, because the mean of its divisors is an integer number (29318653).

Almost surely, 2^4241714400 is an apocalyptic number.

4241714400 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 4241714400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499243572).

4241714400 is an abundant number, since it is smaller than the sum of its proper divisors (14756772744).

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

4241714400 is a wasteful number, since it uses less digits than its factorization.

4241714400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4241714400 is about 65128.4453983050. The cubic root of 4241714400 is about 1618.7525833901.

Adding to 4241714400 its reverse (44171424), we get a palindrome (4285885824).

The spelling of 4241714400 in words is "four billion, two hundred forty-one million, seven hundred fourteen thousand, four hundred".