1077328280448 has 256 divisors, whose sum is σ = 3652122240000. Its totient is φ = 306259937280.

The previous prime is 1077328280423. The next prime is 1077328280467. The reversal of 1077328280448 is 8440828237701.

1077328280448 is a `hidden beast` number, since 10 + 7 + 7 + 32 + 82 + 80 + 448 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1077328280394 and 1077328280403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4702318 + ... + 4926098.

It is an arithmetic number, because the mean of its divisors is an integer number (14266102500).

Almost surely, 2^{1077328280448} is an apocalyptic number.

1077328280448 is a gapful number since it is divisible by the number (18) 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 1077328280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826061120000).

1077328280448 is an abundant number, since it is smaller than the sum of its proper divisors (2574793959552).

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

1077328280448 is a wasteful number, since it uses less digits than its factorization.

1077328280448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224010 (or 223992 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 1077328280448 in words is "one trillion, seventy-seven billion, three hundred twenty-eight million, two hundred eighty thousand, four hundred forty-eight".