4281298398720 has 1920 divisors, whose sum is σ = 18638857036800. Its totient is φ = 911916859392.

The previous prime is 4281298398691. The next prime is 4281298398731. The reversal of 4281298398720 is 278938921824.

4281298398720 is a `hidden beast` number, since 428 + 1 + 29 + 83 + 98 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 11005908286 + ... + 11005908674.

It is an arithmetic number, because the mean of its divisors is an integer number (9707738040).

Almost surely, 2^{4281298398720} is an apocalyptic number.

4281298398720 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 4281298398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9319428518400).

4281298398720 is an abundant number, since it is smaller than the sum of its proper divisors (14357558638080).

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

4281298398720 is a wasteful number, since it uses less digits than its factorization.

4281298398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 4281298398720 in words is "four trillion, two hundred eighty-one billion, two hundred ninety-eight million, three hundred ninety-eight thousand, seven hundred twenty".