12772308493440 has 1024 divisors, whose sum is σ = 49107688819200. Its totient is φ = 3124816773120.

The previous prime is 12772308493367. The next prime is 12772308493489. The reversal of 12772308493440 is 4439480327721.

12772308493440 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 2 + 30 + 84 + 93 + 440 = 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 (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12037990510 + ... + 12037991570.

Almost surely, 2^{12772308493440} is an apocalyptic number.

12772308493440 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 12772308493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24553844409600).

12772308493440 is an abundant number, since it is smaller than the sum of its proper divisors (36335380325760).

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

12772308493440 is a wasteful number, since it uses less digits than its factorization.

12772308493440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 12772308493440 in words is "twelve trillion, seven hundred seventy-two billion, three hundred eight million, four hundred ninety-three thousand, four hundred forty".