1006343428704 has 192 divisors, whose sum is σ = 2814188832000. Its totient is φ = 313969582080.

The previous prime is 1006343428621. The next prime is 1006343428729. The reversal of 1006343428704 is 4078243436001.

1006343428704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1006343428704² (a number of 25 digits) contains 22 as substring.

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, 399182964 + ... + 399185484.

It is an arithmetic number, because the mean of its divisors is an integer number (14657233500).

Almost surely, 2^{1006343428704} 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 1006343428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407094416000).

1006343428704 is an abundant number, since it is smaller than the sum of its proper divisors (1807845403296).

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

1006343428704 is a wasteful number, since it uses less digits than its factorization.

1006343428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 1006343428704 in words is "one trillion, six billion, three hundred forty-three million, four hundred twenty-eight thousand, seven hundred four".