1006074343040 has 128 divisors (see below), whose sum is σ = 2591098146000. Its totient is φ = 371338739712.

The previous prime is 1006074343033. The next prime is 1006074343061. The reversal of 1006074343040 is 403434706001.

It can be written as a sum of positive squares in 8 ways, for example, as 382745144896 + 623329198144 = 618664^2 + 789512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1006074342988 and 1006074343006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24548486 + ... + 24589434.

Almost surely, 2^{1006074343040} is an apocalyptic number.

1006074343040 is a gapful number since it is divisible by the number (10) 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 1006074343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295549073000).

1006074343040 is an abundant number, since it is smaller than the sum of its proper divisors (1585023802960).

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

1006074343040 is a wasteful number, since it uses less digits than its factorization.

1006074343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43934 (or 43922 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 1006074343040 in words is "one trillion, six billion, seventy-four million, three hundred forty-three thousand, forty".