1010042033409 has 12 divisors (see below), whose sum is σ = 1459224479700. Its totient is φ = 673234489824.

The previous prime is 1010042033347. The next prime is 1010042033417. The reversal of 1010042033409 is 9043302400101.

1010042033409 is a `hidden beast` number, since 10 + 100 + 4 + 203 + 340 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 499714679025 + 510327354384 = 706905^2 + 714372^2 .

It is not a de Polignac number, because 1010042033409 - 2²⁵ = 1010008478977 is a prime.

It is a super-2 number, since 2×1010042033409² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010042033459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10521714 + ... + 10617275.

It is an arithmetic number, because the mean of its divisors is an integer number (121602039975).

Almost surely, 2^{1010042033409} is an apocalyptic number.

It is an amenable number.

1010042033409 is a deficient number, since it is larger than the sum of its proper divisors (449182446291).

1010042033409 is a wasteful number, since it uses less digits than its factorization.

1010042033409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21144304 (or 21144301 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 1010042033409 in words is "one trillion, ten billion, forty-two million, thirty-three thousand, four hundred nine".