1244056207680 has 896 divisors, whose sum is σ = 5333965862400. Its totient is φ = 268782796800.

The previous prime is 1244056207663. The next prime is 1244056207687. The reversal of 1244056207680 is 867026504421.

1244056207680 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 0 + 562 + 0 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1244056207687) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35812720 + ... + 35847440.

It is an arithmetic number, because the mean of its divisors is an integer number (5953086900).

Almost surely, 2^{1244056207680} is an apocalyptic number.

1244056207680 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 1244056207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666982931200).

1244056207680 is an abundant number, since it is smaller than the sum of its proper divisors (4089909654720).

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

1244056207680 is a wasteful number, since it uses less digits than its factorization.

1244056207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34800 (or 34784 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 1244056207680 in words is "one trillion, two hundred forty-four billion, fifty-six million, two hundred seven thousand, six hundred eighty".