1449772145280 has 1024 divisors, whose sum is σ = 5536788480000. Its totient is φ = 357422284800.

The previous prime is 1449772145267. The next prime is 1449772145317. The reversal of 1449772145280 is 825412779441.

It is a happy number.

1449772145280 is a `hidden beast` number, since 1 + 4 + 4 + 97 + 7 + 21 + 4 + 528 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 3825256131 + ... + 3825256509.

It is an arithmetic number, because the mean of its divisors is an integer number (5407020000).

Almost surely, 2^{1449772145280} is an apocalyptic number.

1449772145280 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 1449772145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768394240000).

1449772145280 is an abundant number, since it is smaller than the sum of its proper divisors (4087016334720).

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

1449772145280 is a wasteful number, since it uses less digits than its factorization.

1449772145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 1449772145280 in words is "one trillion, four hundred forty-nine billion, seven hundred seventy-two million, one hundred forty-five thousand, two hundred eighty".