1006520434240 has 224 divisors, whose sum is σ = 2445685841664. Its totient is φ = 394503782400.

The previous prime is 1006520434201. The next prime is 1006520434247. The reversal of 1006520434240 is 424340256001.

1006520434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1006520434247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840073647 + ... + 1840074193.

Almost surely, 2^{1006520434240} is an apocalyptic number.

1006520434240 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 1006520434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222842920832).

1006520434240 is an abundant number, since it is smaller than the sum of its proper divisors (1439165407424).

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

1006520434240 is a wasteful number, since it uses less digits than its factorization.

1006520434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The spelling of 1006520434240 in words is "one trillion, six billion, five hundred twenty million, four hundred thirty-four thousand, two hundred forty".