4241214400 has 168 divisors, whose sum is σ = 11112922656. Its totient is φ = 1587609600.

The previous prime is 4241214391. The next prime is 4241214431. The reversal of 4241214400 is 44121424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6554877 + ... + 6555523.

Almost surely, 2^4241214400 is an apocalyptic number.

4241214400 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 4241214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5556461328).

4241214400 is an abundant number, since it is smaller than the sum of its proper divisors (6871708256).

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

4241214400 is a wasteful number, since it uses less digits than its factorization.

4241214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4241214400 is about 65124.6067166628. The cubic root of 4241214400 is about 1618.6889763970.

Adding to 4241214400 its reverse (44121424), we get a palindrome (4285335824).

The spelling of 4241214400 in words is "four billion, two hundred forty-one million, two hundred fourteen thousand, four hundred".