4281828445440 has 2304 divisors, whose sum is σ = 19842673213440. Its totient is φ = 849930485760.

The previous prime is 4281828445417. The next prime is 4281828445457. The reversal of 4281828445440 is 445448281824.

4281828445440 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 82 + 84 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3607268527 + ... + 3607269713.

It is an arithmetic number, because the mean of its divisors is an integer number (8612271360).

Almost surely, 2^{4281828445440} is an apocalyptic number.

4281828445440 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 4281828445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9921336606720).

4281828445440 is an abundant number, since it is smaller than the sum of its proper divisors (15560844768000).

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

4281828445440 is a wasteful number, since it uses less digits than its factorization.

4281828445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 54.

The spelling of 4281828445440 in words is "four trillion, two hundred eighty-one billion, eight hundred twenty-eight million, four hundred forty-five thousand, four hundred forty".