16244800266240 has 3584 divisors, whose sum is σ = 75758598881280. Its totient is φ = 3210529996800.

The previous prime is 16244800266239. The next prime is 16244800266283. The reversal of 16244800266240 is 4266200844261.

16244800266240 is a `hidden beast` number, since 16 + 2 + 4 + 4 + 8 + 0 + 0 + 2 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-3 number, since 3×16244800266240³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 127911813057 + ... + 127911813183.

It is an arithmetic number, because the mean of its divisors is an integer number (21138001920).

Almost surely, 2^{16244800266240} is an apocalyptic number.

16244800266240 is a gapful number since it is divisible by the number (10) 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 16244800266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37879299440640).

16244800266240 is an abundant number, since it is smaller than the sum of its proper divisors (59513798615040).

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

16244800266240 is a wasteful number, since it uses less digits than its factorization.

16244800266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 16244800266240 in words is "sixteen trillion, two hundred forty-four billion, eight hundred million, two hundred sixty-six thousand, two hundred forty".