1006977078144 has 96 divisors (see below), whose sum is σ = 2897896277640. Its totient is φ = 335634140160.

The previous prime is 1006977078137. The next prime is 1006977078193. The reversal of 1006977078144 is 4418707796001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22027599 + ... + 22073265.

Almost surely, 2^{1006977078144} is an apocalyptic number.

It is an amenable number.

1006977078144 is an abundant number, since it is smaller than the sum of its proper divisors (1890919199496).

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

1006977078144 is a wasteful number, since it uses less digits than its factorization.

1006977078144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64828 (or 64813 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 1006977078144 in words is "one trillion, six billion, nine hundred seventy-seven million, seventy-eight thousand, one hundred forty-four".