1006949411424 has 144 divisors (see below), whose sum is σ = 3124898771904. Its totient is φ = 305031955200.

The previous prime is 1006949411411. The next prime is 1006949411437. The reversal of 1006949411424 is 4241149496001.

1006949411424 is a `hidden beast` number, since 10 + 0 + 6 + 9 + 494 + 1 + 142 + 4 = 666.

1006949411424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1006949411411) and next prime (1006949411437).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 1006949411424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9486067 + ... + 9591629.

It is an arithmetic number, because the mean of its divisors is an integer number (21700685916).

Almost surely, 2^{1006949411424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006949411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562449385952).

1006949411424 is an abundant number, since it is smaller than the sum of its proper divisors (2117949360480).

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

1006949411424 is a wasteful number, since it uses less digits than its factorization.

1006949411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108601 (or 108590 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1006949411424 in words is "one trillion, six billion, nine hundred forty-nine million, four hundred eleven thousand, four hundred twenty-four".