1020773466144 has 48 divisors (see below), whose sum is σ = 2977255945440. Its totient is φ = 340257821760.

The previous prime is 1020773466143. The next prime is 1020773466161. The reversal of 1020773466144 is 4416643770201.

1020773466144 is a `hidden beast` number, since 1 + 0 + 20 + 7 + 7 + 3 + 4 + 6 + 614 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1020773466144.

It is not an unprimeable number, because it can be changed into a prime (1020773466143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 590724522 + ... + 590726249.

It is an arithmetic number, because the mean of its divisors is an integer number (62026165530).

Almost surely, 2^{1020773466144} is an apocalyptic number.

It is an amenable number.

1020773466144 is an abundant number, since it is smaller than the sum of its proper divisors (1956482479296).

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

1020773466144 is a wasteful number, since it uses less digits than its factorization.

1020773466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181450790 (or 1181450776 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1020773466144 in words is "one trillion, twenty billion, seven hundred seventy-three million, four hundred sixty-six thousand, one hundred forty-four".