10944882224640 has 1920 divisors, whose sum is σ = 48915409213440. Its totient is φ = 2299207680000.

The previous prime is 10944882224629. The next prime is 10944882224651. The reversal of 10944882224640 is 4642228844901.

10944882224640 is a `hidden beast` number, since 10 + 94 + 4 + 8 + 82 + 2 + 2 + 464 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10944882224629) and next prime (10944882224651).

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

It is a super-2 number, since 2×10944882224640² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 14573744265 + ... + 14573745015.

It is an arithmetic number, because the mean of its divisors is an integer number (25476775632).

Almost surely, 2^{10944882224640} is an apocalyptic number.

10944882224640 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 10944882224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457704606720).

10944882224640 is an abundant number, since it is smaller than the sum of its proper divisors (37970526988800).

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

10944882224640 is a wasteful number, since it uses less digits than its factorization.

10944882224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 10944882224640 in words is "ten trillion, nine hundred forty-four billion, eight hundred eighty-two million, two hundred twenty-four thousand, six hundred forty".