4241102653200 has 960 divisors, whose sum is σ = 16048381409280. Its totient is φ = 937517137920.

The previous prime is 4241102653129. The next prime is 4241102653219. The reversal of 4241102653200 is 23562011424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11370248214 + ... + 11370248586.

It is an arithmetic number, because the mean of its divisors is an integer number (16717063968).

Almost surely, 2^{4241102653200} is an apocalyptic number.

4241102653200 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 4241102653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8024190704640).

4241102653200 is an abundant number, since it is smaller than the sum of its proper divisors (11807278756080).

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

4241102653200 is a wasteful number, since it uses less digits than its factorization.

4241102653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 4241102653200 its reverse (23562011424), we get a palindrome (4264664664624).

The spelling of 4241102653200 in words is "four trillion, two hundred forty-one billion, one hundred two million, six hundred fifty-three thousand, two hundred".